Hai xe cùng xuất phát từ hai bến xe A và B cách nhau 20 km trên một đoạn đường thẳng. Nếu hai xe chạy ngược chiều thì chúng sẽ gặp nhau sau 15 phút. Nếu hai xe chạy cùng chiều thì chúng sẽ đuổi kịp nhau sau 1 giờ. Vận tốc của mỗi xe lần lượt là
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* Khi hai xe đi ngược chiều, ta có phương trình: $\frac{1}{4}v_1 + \frac{1}{4}v_2 = 20$ hay $v_1 + v_2 = 80$ (1)
* Khi hai xe đi cùng chiều, ta có phương trình: $v_1 - v_2 = 20$ (2)
Từ (1) và (2), ta có hệ phương trình:
$\begin{cases} v_1 + v_2 = 80 \\ v_1 - v_2 = 20 \end{cases}$
Giải hệ phương trình, ta được $v_1 = 50$ km/h và $v_2 = 30$ km/h.
Câu hỏi liên quan
Choose A, B, C or D that has the OPPOSITE meaning to the underlined word/phrase in each question.
AI systems assist doctors in detecting dangerous drug interactions that could put patients in jeopardy.
Trong các câu sau:
I. Nước giếng này trong mà lại gần nhà.
II. Họ chưa hiểu rõ cái gì là ưu điểm, cái gì là hạn chế trong nền kinh tế thị trường.
III. Chi hội bảo vệ thiên nhiên được thành lập nhằm tăng cường các hoạt động giáo dục về bảo vệ thiên nhiên trong nhà trường.
IV. Mới vào bộ đội, chúng ta thường được nghe cán bộ phổ biến: nam phải cắt tóc ngắn, nữ thì cuộn, tết tóc lên cao, râu phải cạo nhẵn.
Những câu nào mắc lỗi?
Read the following passage about the Science in Service of Humanity and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Science has come out of its shell in laboratories to become a powerful force for human advancement. Modern scientific endeavors increasingly focus on addressing real-world challenges affecting communities globally. From developing vaccines that save millions to creating technologies connecting people across continents, science serves humanity in countless ways. This shift represents a fundamental evolution in how we perceive scientific progress—not merely academic pursuit but a practical tool for improving lives and solving pressing problems.
[I] Medical breakthroughs exemplify how science directly benefits humanity. [II] For instance, gene therapy offers hope for those with inherited conditions, while artificial intelligence helps diagnose diseases earlier and more accurately. [III] These advancements didn't happen overnight; scientists had to burn the midnight oil for years before achieving success. [IV] Their perseverance demonstrates that when science targets humanitarian goals, results can transform society profoundly.
Environmental science has emerged as another crucial domain where laboratory work translates into human welfare. Climate scientists provide data informing policy decisions affecting billions. Conservation biologists develop strategies to protect biodiversity, ensuring future generations benefit from natural resources. Agricultural researchers create drought-resistant crops helping communities withstand changing climate conditions. Despite these contributions, environmental science faces challenges including funding limitations, political resistance, and urgency of addressing accelerating climate change. Nevertheless, dedicated scientists continue their work, recognizing environmental health directly impacts human wellbeing.
The future of science in service of humanity looks increasingly collaborative and inclusive. Modern approaches incorporate diverse perspectives, including indigenous knowledge and community participation. Citizen science projects engage non-professionals in data collection, democratizing the scientific process. Open-access publishing makes research findings available to anyone with internet access, not just wealthy institutions. These developments suggest science's greatest potential lies in becoming more accessible and responsive to human needs. As we face complex global challenges, from pandemics to climate change, science serving humanity offers our best hope for a sustainable future.
Which of the following best summarises paragraph 3?
Chọn ý đúng: Sự khác nhau giữa tế bào nhân thực và tế bào nhân sơ khi có nhân?
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Biting into a ripe, juicy fruit brings a smile to many people’s faces. But eating that same fruit a week before it is ripe probably wouldn’t be as enjoyable! Unripe fruits are often hard and bitter, but that serves a purpose. The hard exterior of an unripe fruit protects the developing seed inside. After a seed fully develops inside the fruit, the fruit changes color, softens, and gets sweeter to become more attractive to animals and humans. These organisms eat the fruit and spread its seeds, ensuring the plant’s survival and regrowth.
But how does a fruit ripen? The ripening process involves many complex chemical reactions. When a fruit ripens, it goes through a chemical change. A chemical change happens when bonds within molecules break, and the atoms that once formed them regroup into new molecules. Chemical changes are irreversible. Once a fruit ripens, it cannot become unripe again.
One molecule responsible for this chemical change is ethylene. Ethylene (C2H4) is a colorless gas made up of carbon and hydrogen atoms. (I). It is a naturally occurring molecule in the atmosphere. (II). It is also an important plant hormone. (III). Plants release ethylene through the growing tips of roots, flowers, and ripening fruit. (IV). Although ethylene serves other purposes in plants, one of its main purposes is to trigger the chemical reactions that cause fruits to ripen. As the fruit matures, oxygen in the air helps stimulate the production of ethylene. This ethylene production is a signal that begins fruit ripening. For that reason, unripe fruits have low levels of ethylene, while ripe fruits have higher levels of ethylene. Most fruits produce ethylene and respond to ethylene in the atmosphere.
Although fruits require ethylene to ripen, different types of fruits respond to this molecule in two distinct ways: non-climacteric fruits and climacteric fruits. Non-climacteric fruits do not ripen after harvesting. They produce very little ethylene of their own. Climacteric fruits, on the other hand, continue to ripen after they are picked. These fruits produce a large amount of ethylene. Climacteric fruits can also speed up the ripening process of other fruits nearby since they release high levels of ethylene into the air.
Where in the passage does the following sentence best fit in paragraph 3?
“Plant hormones are chemicals produced by plants that control their growth, reproduction, maturation, and decay.”
Gọi A là giá trị trung bình, ΔA′ là sai số dụng cụ, ΔA là sai số ngẫu nhiên, ΔA là sai số tuyệt đối. Sai số tỉ đối của phép đo là
Cho tứ diện ABCD. Gọi M và N lần lượt là trung điểm của AB và CD. Tìm giá trị k trong đå̉ng thức vectơ \(\overrightarrow{MN}=k(\overrightarrow{AD}+\overrightarrow{BC})\). (ghi kết quả dưới dạng số thập phân).
Cho dãy số \(\left( {{u}_{n}} \right)\) là một cấp số cộng có \({{u}_{1}}=3\) và công sai \(d=4\). Biết tổng của \(n\) số hạng đầu tiên của dãy số \(\left( {{u}_{n}} \right)\) là \({{S}_{n}}=253\). Giá trị \(n\) bằng
Những người tham gia vào các hoạt động của nền kinh tế được gọi là gì?
Choose A, B, C or D to complete each sentence.
It rained every day during their stay, so they ________ have had a nice holiday.
Read the following advertisement/announcement and mark the letter A, B, C, or D on your answer sheet to indicate the correct option that best fits each of the numbered blanks from 1 to 6.
DISCOVER THE IPHONE 16
Looking for a smartphone that redefines innovation? The iPhone 16 is the perfect blend (1) ______
cutting-edge technology and sleek design. With its stunning Super Retina XDR display, you’ll experience vibrant colors and incredible detail. Whether you’re capturing photos or streaming videos, this device offers unparalleled performance. Want to enhance your (2) ______? The iPhone 16 features the powerful A16 Bionic chip, (3) ______ lightning-fast speeds for all your tasks. Plus, with its (4) ______, you can stay connected longer without worrying about (5) ______. With the introduction of Apple Intelligence and new AI-driven audio and visual features, Apple has once again pushed the boundaries of what a smartphone can do. Many of the predictions about the iPhone 16 were right on target, and the launch has received an enthusiastic response from the public. Apple has certainly raised the bar and has (6) ______ a new standard for the future of smartphones.Read the following passage and choose the correct option that best fits each of the numbered blanks.
One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.
The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.
In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.
Tổng số hạt proton, neutron và electron trong hai nguyên tử X và Y là 96 hạt, trong đó tổng số hạt mang điện nhiều hơn tổng số hạt không mang điện là 32 hạt. Số hạt mang điện của nguyên tử Y nhiều hơn của nguyên tử X là 16. Số hiệu nguyên tử của X và Y lần lượt là
Thị trường có những chức năng cơ bản nào?
Chủ thể tiêu dùng cần phải có trách nhiệm gì khi tham gia vào hoạt động kinh tế?
Khi nói về dao động cơ cưỡng bức, phát biểu nào sau đây sai?
Choose A, B, C or D to answer the question.
You’ve noticed that whenever you take a cold drink out of the refrigerator, water droplets form on the outside of the glass. What is the likely cause?
Read the following passage about the Second Acts That Inspire and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Life often presents us with unexpected challenges that force us back to the drawing board. Whether due to personal setbacks, career changes, or unforeseen circumstances, the courage to begin again can lead to remarkable transformations. Many inspiring individuals have shown that it's never too late to reinvent oneself and pursue new dreams. Throughout history, countless people have overcome seemingly impossible situations through sheer determination.
[I] Take J.K. Rowling, for instance. Before becoming a literary sensation, she was a struggling single mother living on welfare. [II] Her determination eventually paid off when her books became a global phenomenon, proving that setbacks can become stepping stones to success. [III] This remarkable turnaround demonstrates how resilience and unwavering belief in oneself can overcome seemingly insurmountable obstacles. Despite facing depression and financial hardship, she never gave up on her dreams. [IV]
Colonel Harland Sanders' story is another testament to the power of starting anew. At the age of 65, when most people contemplate retirement, he found himself struggling financially after his restaurant failed. Instead of giving up, he traveled across America, sleeping in his car while pitching his chicken recipe to restaurant owners. His recipe for success wasn't just about the perfect blend of herbs and spices; it was about persistence and determination. After facing over 1,000 rejections, he finally established Kentucky Fried Chicken, which grew into a global empire. His unwavering spirit and dedication inspired generations of entrepreneurs worldwide.
These inspiring stories remind us that failure is not final, but rather a chance to redirect our path. Every setback carries the seed of an equal or greater opportunity, and sometimes the end of one chapter is simply the beginning of a better one. The key lies in having the courage to take that first step, even when the future seems uncertain. As these remarkable individuals have shown, it's never too late to rewrite your story and create a powerful second act. Their journeys teach us that persistence and courage ultimately lead to success.
Which of the following best paraphrases the underlined sentence in paragraph 4?
Trong đoạn 1, màu sắc và văn hóa Tây Nguyên thể hiện qua những yếu tố nào?
Read the following passage about a football player and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 18 to 22.
Cristiano Ronaldo, one of the greatest football players of all time, (18) __________.
Born on February 5, 1985, in Funchal, Madeira, Portugal, he showed exceptional talent from a young age. His journey began at Sporting Lisbon, where he honed his skills before moving to Manchester United in 2003. There, he developed into a formidable player, winning multiple Premier League titles and the coveted UEFA Champions League.
During his time at Manchester United, Ronaldo developed into a world-class player, winning three Premier League titles and the UEFA Champions League. He became well known for his incredible speed and powerful shots (19) __________ . In 2009, he transferred to Real Madrid, where he broke numerous records, including becoming the club’s all-time leading scorer. (20) __________.
Possessing remarkable athleticism and a keen sense of strategy, (21) __________. His training regimen, which includes intense workouts and a strict diet, ensures that he remains at peak performance. This dedication has allowed him to adapt his playing style over the years, maintaining his relevance in an ever-evolving sport. Additionally, Ronaldo’s ability to lead his teammates has earned him respect both on and off the field.
Beyond his football career, Ronaldo is a philanthropist who uses his platform to give back to the community. (22) __________. His influence extends far beyond the pitch, making him a global icon and a role model for aspiring athletes. Ultimately, Cristiano Ronaldo’s legacy is defined not only by his records but also by his commitment to making a positive impact in the world.