Multiple choice

The length of two trains (T_1) and (T_2) be the ratio of 5:6 and the length of platform is 1500m. The train (T_1) crosses a platform in 50sec and train (T_2) crosses a platform in 30sec. The speed of train (T_1) is 50 m/sec. Find the ratio of speed trains (T_1) and (T_2).

  1. 5:3

  2. 3:5

  3. 5:9

  4. 3:2

  5. None of these

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

T1 length: Distance = speed × time = 50 × 50 = 2500m. So platform (1500m) + T1 length = 2500m, giving T1 = 1000m. Since T1:T2 = 5:6, T2 = (6/5) × 1000 = 1200m. T2 crosses same platform: Distance = 1500 + 1200 = 2700m in 30s, so speed = 2700/30 = 90 m/s. Ratio T1:T2 = 50:90 = 5:9.