P, Q, and R participated in a cycle race of 4000 metres. P cycles twice as fast as Q, and R cycles 1/2 as fast as Q. If R completes the race in 40 minutes, then what is the speed (in km/h) of P?

P, Q, and R participated in a cycle race of 4000 metres. P…

P, Q, and R participated in a cycle race of 4000 metres. P cycles twice as fast as Q, and R cycles $\frac{1}{2}$ as fast as Q. If R completes the race in 40 minutes, then what is the speed (in km/h) of P?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 24.

Distance = 4000 m = 4 km

R takes 40 minutes = $2\over3$ hours

R's speed = $4\over{2\over3}$ = 6 km/hr

⇒ R = $\frac{1}{2}$ × Q

Q's speed = 2 × 6 = 12 km/hr

⇒ P = 2 × Q

Speed of P = 2 × 12 = 24 km/hr

SSC Selection Post 2022 PYQ — Question 63