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A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.
At what time will they meet each other?
- a)12 noon
- b)12:05 pm
- c)12:08 pm
- d)12:15 pm
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A boat P travels 40 km upstream from point A to point B in 10 hours an...
To solve this problem, we can use the concept of relative speed. Let's break down the information given:
- Boat P travels 40 km upstream from point A to point B in 10 hours.
- Boat P travels from point B to point A downstream in 5 hours.
- Boat Q can travel from point A to point C, 30 km upstream, in 5 hours.
- Boat P starts from point A towards B at 10 am.
- Boat Q starts from point C towards A at the same time.
Relative Speed:
The relative speed of two objects moving in opposite directions is the sum of their individual speeds. In this case, the relative speed between P and Q will be the speed of P plus the speed of Q.
Let's calculate the speeds of P and Q first:
- Speed of P upstream = 40 km / 10 hours = 4 km/h
- Speed of P downstream = 40 km / 5 hours = 8 km/h
- Speed of Q upstream = 30 km / 5 hours = 6 km/h
Therefore, the relative speed of P and Q will be:
Relative speed = Speed of P + Speed of Q
Relative speed = 8 km/h + 6 km/h = 14 km/h
Now, let's calculate the distance between the starting points of P and Q:
- Distance between A and C = 30 km
Time to Meet:
To find the time it takes for P and Q to meet, we can use the formula:
Time = Distance / Relative speed
Time = 30 km / 14 km/h = 15/7 hours
Converting this into minutes:
Time = (15/7) * 60 minutes = 900/7 minutes
Adding this time to the starting time of 10 am:
10 am + 900/7 minutes
To convert minutes into hours, we divide the minutes by 60:
900/7 minutes ÷ 60 = 900/420 hours
Adding this to the starting time:
10 am + 900/420 hours
Simplifying this:
10 am + 2 60/420 hours
10 am + 2 1/7 hours
Therefore, they will meet at:
10 am + 2 hours + 1/7 hours = 12:08 pm
Hence, the correct answer is option C) 12:08 pm.
- Boat P travels 40 km upstream from point A to point B in 10 hours.
- Boat P travels from point B to point A downstream in 5 hours.
- Boat Q can travel from point A to point C, 30 km upstream, in 5 hours.
- Boat P starts from point A towards B at 10 am.
- Boat Q starts from point C towards A at the same time.
Relative Speed:
The relative speed of two objects moving in opposite directions is the sum of their individual speeds. In this case, the relative speed between P and Q will be the speed of P plus the speed of Q.
Let's calculate the speeds of P and Q first:
- Speed of P upstream = 40 km / 10 hours = 4 km/h
- Speed of P downstream = 40 km / 5 hours = 8 km/h
- Speed of Q upstream = 30 km / 5 hours = 6 km/h
Therefore, the relative speed of P and Q will be:
Relative speed = Speed of P + Speed of Q
Relative speed = 8 km/h + 6 km/h = 14 km/h
Now, let's calculate the distance between the starting points of P and Q:
- Distance between A and C = 30 km
Time to Meet:
To find the time it takes for P and Q to meet, we can use the formula:
Time = Distance / Relative speed
Time = 30 km / 14 km/h = 15/7 hours
Converting this into minutes:
Time = (15/7) * 60 minutes = 900/7 minutes
Adding this time to the starting time of 10 am:
10 am + 900/7 minutes
To convert minutes into hours, we divide the minutes by 60:
900/7 minutes ÷ 60 = 900/420 hours
Adding this to the starting time:
10 am + 900/420 hours
Simplifying this:
10 am + 2 60/420 hours
10 am + 2 1/7 hours
Therefore, they will meet at:
10 am + 2 hours + 1/7 hours = 12:08 pm
Hence, the correct answer is option C) 12:08 pm.
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A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer?
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A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer?.
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Solutions for A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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ample number of questions to practice A boat P travels 40 km upstream from point A to point B in 10 hours and from point B to point A downstream in 5 hours. Another boat Q can travel from point A to a point C, 30 km upstream, in 5 hours. At 10 am, P starts from A and goes towards B. At the same time, Q starts from C and goes towards A.At what time will they meet each other?a)12 noonb)12:05 pmc)12:08 pmd)12:15 pmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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