SSC MTS 2019 PYQ — Question 69

SSC MTS Previous Year - 08 August 2019 - Shift 2 • Quantitative Aptitude • Q69

A man travels from P to Q at the speed of 60 km/h and travels from Q to P at the speed of 90 km /h. What is the average speed of the man  fo rhe whole journey?

Show answer & explanation

Correct answer: D

Explanation

The Correct Answer is option 4 i.e. 72 km/h

Understanding

Application

Calculation

Speed (P to Q) = 60 km/hr

Speed (Q to P) = 90 km/hr

Suppose the distance PQ = 180 km (LCM of 60 & 90)

So,

Total distance = 360 km

⇒ 180 + 180 = 360

We need to calculate total time of whole journey

So,

Total time = 5 hours

⇒ 180/60 + 180/90

= 3 + 2 = 5

Speed = Distance/Time

Hence,

Avg speed of whole journey = 72 km/hr

⇒ 360/5 = 72