Question

The 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?

• A. 25 min
• B. 20 min
• C. 33 min
• D. 30 min

Answer 1

Answer:

D. 30 min

Speed ratio of A : B = 3 : 5

For the same distance, time is inversely proportional to speed.

So,
$\text{Time ratio of A : B} = 5 : 3$

Given B takes 18 minutes, let A’s time = ( x )

$\frac{x}{18} = \frac{5}{3}$

$x = 18 \times \frac{5}{3} = 30 \text{ minutes}$

Final Answer:

A will take 30 minutes.