SSC CPO 2024 PYQ — Question 142

SSC CPO 2024 - 27th June 2024 - Shift 1 • Quantitative Aptitude • Q142

A train covers 60 km at a speed of 80 km/h, 100 km at a speed of 90 km/h, and another 140 km at a speed of 120 km/h. Find the average speed for the complete journey. (Round to the nearest integer.)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 99 km/h.

Given that

60 km is covered at the speed of 80 km/h

Hence, time taken = 60 / 80 = 6/8 hours

Another 100 km are covered at the speed of 90 km/h

Hence, time taken = 100 / 90 = 10/9 hours

Another 140 km are covered at the speed of 120 km/h

Hence, time taken = 140 / 120 = 7/6 hours

Average speed = total distance / total time taken

Hence, average speed = (60 + 100 + 140) / (68+109+76\frac{6}{8} + \frac{10}{9} + \frac{7}{6}) = 300×72218\frac{300 × 72}{218} = 99.08 km/h

Hence, the average speed for the complete journey (Rounded to the nearest integer) is 99 km/h.