SSC GD 2023 PYQ — Question 41

SSC GD Constable (English) - 12 Jan 2023 - Shift 4 • Quantitative Aptitude • Q41

A train runs at a speed of 90 km/h in the first 10 minutes and 60 km/h in next 25 minutes and 15 km/h in last 4 minutes. What is the average speed of the train?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 6311363\frac{1}{13} km/h.

We know that,

Average Speed = Total Distance/Total Time

Distance covered at the speed of 90 km/hr in 10 minutes

Distance = 90 × 10/60 = 15 km

Distance covered at the speed of 60 km/hr in 25 minutes

Distance = 60 × 25/60 = 25 km

Distance covered at the speed of 15 km/hr in 4 minutes

Distance = 15 × 4/60 = 1 km

Total distance = 15 + 25 + 1 = 41 km

Total Time = (10 + 25 + 4) = 39/60

Average Speed = 41/39/60 = 41 × 60/39 =  820/39 = 6311363\frac{1}{13} km/hr