Question

If a man walks to his office at $\frac{5}{4}$ of his usual rate, he reaches office $30$ minutes earlier than usual. What is his usual time to reach office?

• A. $2$ hr
• B. $2$ hr $30$ min
• C. $1$ hr $50$ min
• D. $2$ hr $15$ min

Answer 1

Answer: (B)

$2$ hr $30$ min

$Speed\times Time=Distance$

$\frac{5}{4}Speed\times ?=Distance$

Time reduces to $\frac{4}{5}$ of usual time $

Time reduces by $\frac{1}{5}$ which is 30 minutes

so usual time is $150$ minutes which is equal to $2\frac{1}{2}$ hours.

option B