SSC CPO 2023 PYQ — Question 142

SSC CPO - 05 Oct 2023 - Shift 2 • Quantitative Aptitude • Q142

Julie and Soma start from the same point and walk in opposite directions. Julie walks 4 km/h faster than Soma. After 4 hours, they are 40 km apart. How fast did each walk?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Julie – 7 km/h; Soma – 3 km/h.

Given that

Julie and Soma start from the same point and walk in opposite directions.

After 4 hours, they are 40 km apart

Let the speed of Soma and Julie be X and Y km/h respectively

According to the question

Relative speed in opposite direction = X + Y = 40/4 = 10 .....(1

Julie walks 4 km/h faster than Soma

⇒ X - Y = 4 ......(2

Equation 1 + Equation 2

⇒ 2X = 14

⇒ X = 7 km/h

⇒ Y = 7 - 4 = 3 km/h

Hence, The speed of Julie – 7 km/h and Soma – 3 km/h