SSC CPO 2022 PYQ — Question 149

SSC CPO - 9 Nov 2022 - Shift 1 • Quantitative Aptitude • Q149

Two trains - A and B- having the lengths 195 m and 165 m, respectively, are running in the same direction on parallel lines. If the speed of A and B be 77 km/h and 85 km/h, respectively, what will be the time (in seconds) taken by them to cross each other?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 162.

Length of a first train = 195 m

Length of another train = 165 m

The speed of the first train = 77 km/h

The speed of the another train = 85 km/h

The relative speed of the train = 85 - 77 = 8 km/h

Formula used

Time to cross train each other = Total length of the train/Relative speed

Calculation 

Time to cross trains each other = (195 + 165)/(8 × 5/18) = 360/(20/9) = 162 seconds