Question

In a 700 m race, Amit reaches the finish point in 20 seconds and Rahul reaches in 25 seconds. Amit beats Rahul by a distance of:

• A. 120 m
• B. 150 m
• C. 140 m
• D. 100 m

Answer 1

Answer: (C)

140 m

Answer 2

Amit completes the race in 20 seconds, so his speed is:

Speed of Amit = $\frac{\text{Distance}}{\text{Time}} = \frac{700}{20} = 35 \, \text{m/s}$.

Rahul completes the race in 25 seconds, so his speed is:

Speed of Rahul = $\frac{\text{Distance}}{\text{Time}} = \frac{700}{25} = 28 \, \text{m/s}$.

In 20 seconds, Rahul covers:

Distance covered by Rahul = Speed of Rahul $\times$ Time = $28 \times 20 = 560 \, \text{m}$.

The distance by which Amit beats Rahul is:

Distance = $700 - 560 = 140 \, \text{m}$.

Thus, Amit beats Rahul by 140 m.