Question

Ratio of speeds of three persons is 4 ∶ 5 ∶ 6, find the ratio of time required if distance covered by all 3 persons is same.
1. 6 ∶ 5 ∶ 4
2. 12 ∶ 15 ∶ 10
3. 5 ∶ 6 ∶ 4
4. 15 ∶ 12 ∶ 10

Answer 1

Correct Answer - Option 4 : 15 ∶ 12 ∶ 10

Given:

Ratio of speeds = 4 ∶ 5 ∶ 6

Concept used:

Time α 1/Speed

Time = Distance/Speed

Calculation:

Ratio of time = 1/4 ∶ 1/5 ∶ 1/6

LCM of 4, 5, 6 = 60

Let the distance be 60 units

Time = Distance/Speed

Ratio of time = (60/4) ∶ (60/5) ∶ (60/6)

⇒ Ratio of time = 15 ∶ 12 ∶ 10

∴ The ratio of time is 15 ∶ 12 ∶ 10.