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Friday, March 28, 2025

The ratio of length of 2 trains is 5 : 6 and the ratio of their speeds is 2: 3. Find the ratio of time taken by them to cross a pole.

The ratio of length of 2 trains is 5 : 6 and the ratio of their speeds is 2: 3. Find the ratio of time taken by them to cross a pole.
A05:04
B07:04
C02:07
D05:07

correct answer is: 05:04
Explanation: The ratio of the time taken by the two trains to cross a pole is determined by the ratio of their lengths divided by their respective speeds. For the first train, the time is \( \frac{5}{2} \) units, and for the second train, it is \( \frac{6}{3} = 2 \) units. Simplifying the ratio \( \frac{5}{2} : 2 \) gives \( 5:4 \)

  • OPTION a (05:04): Correct, as derived above.
  • OPTION b (07:04): Incorrect, as it does not match the calculated ratio.
  • OPTION c (02:07): Incorrect, as it inverses the correct ratio.
  • OPTION d (05:07): Incorrect, as it does not match the calculated ratio.

Akhilesh
answered Apr 2 '25 at 23:24

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