In a 180 m race. A covers the distance in 40 seconds and B in 45 seconds. In this race, A beats B by distance :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 20 m
Time taken by A = 40 s
Time taken by B = 15 s
Total Distance = 180 m
$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
$S_A=\frac{180}{40}=4.5m/s$
$S_B=\frac{180}{45}=4m/s$
Distance covered by B = Speed of B × Time taken by A
$=4×40=160m$
∴ Distance by which A beats B = 180 - 160 = 20 m