In a 200 m race, Rohan completes the race in 8 seconds and Vivan completes the race in 10 seconds. By how much distance Rohan beats Vivan?

40 m

The correct answer is Option (3) → 40 m

Given:

Race distance: 200 m

Time taken by Rohan: $t_R = 8$ sec

Time taken by Vivan: $t_V = 10$ sec

Speed of Rohan: $v_R = \frac{200}{8} = 25$ m/sec

Speed of Vivan: $v_V = \frac{200}{10} = 20$ m/sec

Distance covered by Vivan when Rohan finishes:

$d = v_V \cdot t_R = 20 \cdot 8 = 160$ m

Rohan beats Vivan by: $200 - 160 = 40$ m