The ratio of speed of three racers is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4 : 6 : 3.
Speed = Distance/time
When distance is constant,
Speed is inversely proportional to time.
Let the speed of three racers be 3x, 2x and 4x.
Ratio of the time taken = 2x × 4x : 3x × 4x : 3x × 2x
⇒ 4 : 6 : 3