SSC CPO 2024 PYQ — Question 106

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q106

A man travels some distance at a speed of 12 km/h and returns at a speed of 8 km/h. If the total time taken by him is 3 hours and 45 minutes, then the total distance (in km) travelled is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 36.

Let the distance covered in one journey be d

Hence the total distance covered is 2d

Distance d is covered with a speed of 12 km/h and again with a speed  of 8 km/h

Total time taken = 3 hours 45 mins = 154\frac{15}{4} hours

Formula used

Time = distancespeed\frac{distance}{speed}

154\frac{15}{4} = d12+d8\frac{d}{12} + \frac{d}{8} 

Solving for d we get

d = 18

Hence the total distance covered will be 2 × 18 = 36 km.