Question
Download Solution PDFThe ratio of the walking speeds of A and B is 3 : 5. If B takes 18 minutes to cover a certain distance, how much time will A take to cover the same distance?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of walking speeds of A and B = 3 : 5
Time taken by B to cover a certain distance = 18 minutes
Formula used:
Time is inversely proportional to speed. Therefore, if the speed ratio is a : b, then the time ratio will be b : a.
Calculations:
Time ratio of A and B = 5 : 3
Let time taken by A be x minutes.
⇒ \(\frac{\text{Time of A}}{\text{Time of B}} = \frac{5}{3}\)
⇒ \(\frac{x}{18} = \frac{5}{3}\)
⇒ x = 18 × \(\frac{5}{3}\)
⇒ x = 30
∴ The correct answer is option (4).
Last updated on Jul 8, 2025
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