Question

Walking $\frac{6}{7}$th of his usual speed a man is $12$ minutes late. The usual time taken by him to cover that distance is:

• A. $1$ hour
• B. $1$ hr $12$ min
• C. $1$ hr $15$ min
• D. $1$ hr $20$ min

Answer 1

The correct option is B $1$ hr $12$ min

New speed =$\frac{6}{7}$ of usual speed

Then new time=$\frac{7}{6}$ of usual time

$\Rightarrow (\frac{7}{6}$ of usual time)-(usual time)=$\frac{1}{5}$ hr

$\Rightarrow \frac{1}{6}=\frac{1}{5}$ hr

Then usual time=$\frac{6}{5}$=1 hr 12 m