Question

If an Ant is walking at 6/7 of his usual speed, then he is 8 minute late to reach sugar factory. Find his usual time to cover the distance.
1. 26 minute
2. 38 minute
3. 48 minute
4. 56 minute

Answer 1

Correct Answer - Option 3 : 48 minute

Given∶

Change in speed = a / b = 6 / 7 of usual speed and

Change in time = 8 minute

Formula Used∶

Change in speed = [(b / a) – 1)] × Original time

Calculation∶

Change in speed = (a / b) = 6 / 7 of usual speed

Change in time = 8 minutes

We have change in time = [(b / a)– 1)] × Original time

Original time = change in time / [(b / a) – 1)]

⇒ 8 / [(7 / 6) – 1]

⇒ 8 / (1 / 6)

⇒ 8 × 6

⇒ 48 min

∴ The usual time to cover the distance is 48 minutes.