Multiple choice

Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they cross each other, the trains reach their destinations in 9 hours and 16 hours respectively. What is the ratio of their speeds?

  1. 2:3

  2. 4:3

  3. 6:7

  4. 9:16

  5. 5:7
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B Correct answer
Explanation

When two objects meet and then travel to their destinations in times t1 and t2, the ratio of their speeds is sqrt(t2/t1). Here, ratio = sqrt(16/9) = 4/3.

AI explanation

When two trains start simultaneously and reach their destinations after crossing each other in times t1 and t2, the ratio of their speeds is the square root of the inverse ratio of their times. Applying this rule, the ratio of their speeds is the square root of 16 divided by 9. Therefore, the ratio of their speeds is 4 to 3.

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