SSC MTS 2023 PYQ — Question 6

SSC MTS - 11 May 2023 - Shift 2 • Quantitative Aptitude • Q6

A man covers half part of a certain distance at 60 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 24 km/hr.

Concept used:

Average speed = Total distance/Total time

Calculations:

Let the total distance be 10D

Distance travelled at 60 km/h = 5D

Distance travelled at 12 km/h = 2D

Distance travelled at 18 km/h = 3D

According to the question;

⇒ Average speed = 10D/[(5D/60) + (2D/12) + (3D/18)]

⇒ Average speed = 10D/[(75D)/180]

⇒ Average speed = 24 km/h