Question
Download Solution PDFThe ratio between the speed of travelling of A and B is 2 : 3 and therefore A takes 15 minutes more than the time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio between the speed of travelling of A and B is 2:3.
A takes 15 minutes more than B to reach a destination.
Formula used:
Time = Distance / Speed
Calculations:
Let the speed of A be 2x and the speed of B be 3x.
Let the distance be D.
Time taken by A = D / 2x
Time taken by B = D / 3x
Given, A takes 15 minutes more than B:
D / 2x - D / 3x = 15
⇒ (3D - 2D) / 6x = 15
⇒ D / 6x = 15
⇒ D = 90x
If A had walked at double the speed (4x), time taken by A:
Time = D / 4x
Time = 90x / 4x
Time = 22.5 minutes
∴ The correct answer is option 3.
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