SSC CPO 2019 PYQ — Question 122

SSC CPO Tier I - 9th December 2019 - Shift 1 • Quantitative Aptitude • Q122

The speed of two railway enginesis in the ratio 5 : 4. If they moveonparallel tracks in the same direction and if the slower engine is ahead of the faster engine by 8 km when the latter starts, then how far will the faster engine have to travel before it overtakes the slower one?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 40

Understanding

Application

Let the speed of the two engine be 5x and 4x km/h respectively.

Relative speed in the same direction = x

Time taken to faster egine to overtake slower engine is = 

Distance = Speed × time

 =  × 5x = 40 km