P can run 250 m in 25 s and Q can run the same distance in 30 s. By what distance is P ahead of Q after 4.5 s, if both start the race at the same time?

Correct option is D

Given:

Distance = 250 m

Time taken by P = 25 s

Time taken by Q = 30 s

Time after start = 4.5 s

Formula Used:

Distance covered = Speed × Time

Solution:

Speed of P = $$\frac{250}{25}$$​ = 10 m/s

Speed of Q = $$\frac{250}{30} \approx 8.33$$​ m/s

Distance after 4.5 s:

P: $$10 \times 4.5$$​ = 45 m

Q:$$8.33 \times 4.5 \approx 37.5 m$$​​

Distance ahead = 45 − 37.5 = 7.5 m