SSC CHSL 2022 PYQ — Question 64

SSC CHSL - 26 May 2022 - Shift 3 • Quantitative Aptitude • Q64

A bus goes to Mumbai from Delhi at the speed of 60 km/h for 60% of the journey, and covers the remaining part of its journey at the speed of 70 km/h. What is the average speed of the bus (in km/h) during the entire journey under consideration?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 64.

Speed = Distance/time

Let the distance from Delhi to Mumbai be x

Time is taken for 60% of the journey = (60/100 × x)/60

Time is taken for 60% of the journey = x/100

Time is taken for the remaining part of the journey which is 40% = (40/100 × x)/70

Time is taken for the remaining part of the journey which is 40% = x/175

⇒ Average Speed of bus for complete journey = x/(x/100+x/175)x/(x/100+x/175)

⇒ Average Speed of bus for complete journey = x/(175x+100x/17500)x/(175x+100x/17500)

= 17500x/275x

= 63.63 ≈ 64 64 km/h