SSC CPO 2023 PYQ — Question 139

SSC CPO - 05 Oct 2023 - Shift 2 • Quantitative Aptitude • Q139

A train of length 180 m takes 40 seconds to cross a tunnel of length 500 m. What is the speed of the train (in km/h)?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 61.2.

The length of the train = 180 m

The length of the tunnel = 500 m

Time taken to cross the tunnel = 40 seconds

Speed of train = (Length of train + Length of tunnel)/Time

Total distance = Length of train + Length of tunnel = 180 + 500 = 680 m

Speed of train = DistanceTimeDistance \over Time = 68040680\over 40  m/sec = 17 m/sec

Speed of train in km/hr = Speed of train in m/sec × 18518\over 5= 17 × 18518\over 5 = 61.2 km/hr

Hence the speed of train is 61.2 km/hr.