Question

The ratio of the speed of three Motorbike racers is 10 ∶ 7 ∶ 2. What is the ratio of time taken by the three bike racers to cover the same distance?
1. 7 ∶ 10 ∶ 19
2. 9 ∶ 5 ∶ 16
3. 7 ∶ 10 ∶ 35
4. 14 ∶ 17 ∶ 9

Answer 1

Correct Answer - Option 3 : 7 ∶ 10 ∶ 35

Given:

Speed of three Motorbike racers = 10 ∶ 7 ∶ 2

Concept used:

Time = Distance/Speed

Calculation

Let, distance be x

Ratio of time taken by motorbike first, second and third = (x/10) ∶ (x/7) ∶ (x/2)

⇒ 140 × (x/10) ∶ 140 × (x/7) ∶ 140 × (x/2)

⇒ 14x ∶ 20x ∶ 70x = 7 ∶ 10 ∶ 35

∴ The ratio of time taken by motorbike first, second and third is 7 ∶ 10 ∶ 35