Question

In a 1000 metre race, Rahul reaches the finishing line 5 seconds before than Raj and beats Raj by 50 metre. What is Rahul's speed (in m/s)?
1. \(11 \frac{9}{19}\)
2. \(9 \frac{9}{19}\)
3. \(10 \frac{10}{19}\)
4. \(9 \frac{10}{19}\)

Answer 1

Correct Answer - Option 3 : \(10 \frac{10}{19}\)

Calculation:

Total distance = 1000 m

From the given information, Raj runs 50 m in 5s.

Then, speed of Raj = 10 m/s

That means, Raj covers the 1000 m is = 1000/10 = 100 s

Then, we can say that Rahul takes = 100 - 5 = 95 s to cover 1000 m.

Then, speed of Rahul = 1000/95 = 200/19

∴ Speed of Rahul = 10 (10/19) m/s