In a 2 km linear race, if P completes the race in 200 second and Q in 220 seconds, then the distance by which P beats Q is:

Correct option is D

Given:
Total time taken by P to complete race = 200 seconds
Total time taken by Q to complete race = 220 seconds
Distance=2 km
Formula Used:
Speed = $$\frac{\text{Distance}}{\text{Time}}$$​​

Solution:
Speed of Q = $$\frac{2000}{220} = \frac{100}{11} \, \text{m/sec}$$​​
When P finishes race Q is left 20 seconds behind,
Then distance left will be distance travelled by Q in 20 seconds
Distance = $$\frac{100}{11} \, \text{m/sec} \times 20 = \frac{2000}{11} \, \text{m} = 181 \, \frac{9}{11} \, \text{m}$$​​