# Walking at $\frac{4}{5}^{\rm{th}}$ of his usual speed, a man is 12 minutes late for his office. What is the usual time taken by him to cover that di

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Walking at $\frac{4}{5}^{\rm{th}}$ of his usual speed, a man is 12 minutes late for his office. What is the usual time taken by him to cover that distance?
1. 48  minutes
2. 50 minutes
3. 54 minutes
4. 60 minutes

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Correct Answer - Option 1 : 48  minutes

Given:

Walking at 4/5 of his usual speed, a man is 12 minutes late for his office

Calculation

Let the usual time be x minute

Walking at 4/5th of his usual speed, he will take time 5/4 of the usual time

Now, 5/4th of the usual time = usual time + 12 minute

5/4 x = x + 12

5/4x – x = 12

1/4 x = 12

X = 48 minute

Hence, he usually time take = 48 minute