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Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.
  • a)
    2 : 5
  • b)
    3 : 5
  • c)
    3 : 8
  • d)
    7 : 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two trains A and B travel from points X to Y and the ratio of the spee...
We know that speed is inversely proportional to time.
Given that:
(Speed of A): (speed of B) = 2: 7
∴ (Time taken by A): (Time taken by B) = 1/2 ∶ 1/7 = 7 ∶ 2
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Most Upvoted Answer
Two trains A and B travel from points X to Y and the ratio of the spee...
Explanation:

Let the speed of train A be 2x and the speed of train B be 7x, where x is a constant.

Distance:
Since both trains are traveling from point X to point Y, the distance traveled by both trains will be the same.

Time:
The time taken to travel a certain distance is inversely proportional to the speed of the object traveling. Therefore, the ratio of time taken by A to B will be the reciprocal of the ratio of their speeds.

Let's calculate the ratio of time taken by A and B.

The ratio of the speeds of A to B is given as 2:7.
Therefore, the ratio of time taken by A to B is 7:2.

Answer:
The ratio of time taken by A and B to reach from X to Y is 7:2, which is option D.
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Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.a)2 : 5b)3 : 5c)3 : 8d)7 : 2Correct answer is option 'D'. Can you explain this answer?
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