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A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?
- a)3.0 hours
- b)4.0 hours
- c)4.2 hours
- d)3.6 hours
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A boat takes 6 hours to travel from A to B (upstream). The river flows...
Given data:
Distance from A to B = 36 km
Time taken to travel from A to B (upstream) = 6 hours
Speed of river = 2 kmph
Approach:
To find the time taken to travel from B to A (downstream), we need to calculate the speed of the boat in still water. Once the speed is calculated, we can use it to find the time taken to travel downstream.
Let V be the speed of the boat in still water
Then, speed upstream = V - 2 kmph (since boat travels against the current)
and speed downstream = V + 2 kmph (since boat travels with the current)
Now, we know that distance = speed × time
Therefore, 36 = (V - 2) × 6 (for upstream journey)
Solving this equation, we get V = 10 kmph
Hence, speed downstream = 10 + 2 = 12 kmph
And distance = 36 km
Therefore, time taken to travel from B to A (downstream) = distance / speed
= 36 / 12 = 3 hours (rounded off to one decimal place)
Therefore, the correct answer is option (D) 3.6 hours.
Note: It is important to convert all units to the same system (kmph) before calculating.
Distance from A to B = 36 km
Time taken to travel from A to B (upstream) = 6 hours
Speed of river = 2 kmph
Approach:
To find the time taken to travel from B to A (downstream), we need to calculate the speed of the boat in still water. Once the speed is calculated, we can use it to find the time taken to travel downstream.
Let V be the speed of the boat in still water
Then, speed upstream = V - 2 kmph (since boat travels against the current)
and speed downstream = V + 2 kmph (since boat travels with the current)
Now, we know that distance = speed × time
Therefore, 36 = (V - 2) × 6 (for upstream journey)
Solving this equation, we get V = 10 kmph
Hence, speed downstream = 10 + 2 = 12 kmph
And distance = 36 km
Therefore, time taken to travel from B to A (downstream) = distance / speed
= 36 / 12 = 3 hours (rounded off to one decimal place)
Therefore, the correct answer is option (D) 3.6 hours.
Note: It is important to convert all units to the same system (kmph) before calculating.
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A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer?
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A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. 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 takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. 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 takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer?.
A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. 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 takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. 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 takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer?.
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A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?a)3.0 hoursb)4.0 hoursc)4.2 hoursd)3.6 hoursCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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