Multiple choice

The sum of the lengths of two trains A and B is 696 m. The ratio of the speed of A to that of B is 6 : 7. The ratio of the time to cross an electric pole by train A to that by B is 5 : 4. Find the difference between the lengths of the two trains (in meter).

  1. 18

  2. 27

  3. 24

  4. 20

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let lengths be LA and LB. LA + LB = 696. Time = length/speed, so LA/SA : LB/SB = 5:4. Given SA:SB = 6:7, then LA:LB = 15:14. So LA = 360m, LB = 336m. Difference = 24m. Option C matches.