Question

Waling at 3/4 of his normal speed, Ankur is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and his office is

• A. 48 minutes
• B. 60 minutes
• C. 42 minutes
• D. 62 minutes

Answer 1

The correct option is A 48 minutes

$\text{Speed}\times \text{Time}=\text{Distance}S\times T=D\text{Here S is changed to}\frac{3}{4}\text{S, so T must be changed to}\frac{4}{3}T\text{to keep D constant i.e.}\frac{3}{4}S\times \frac{4}{3}T=DNow\frac{4}{3}T=T+16So\frac{1}{3}T=16;T=48minutes$