Question

In covering a certain distance the speeds of $A$ and $B$ are in the ratio $3:4$. A takes $30$ minutes more than $B$ to reach the destination. The time taken by $A$ to reach the destination is

• A. $1$ hour
• B. $1\frac{1}{2}$ hours
• C. $2$ hours
• D. $2\frac{1}{2}$ hours

Answer 1

The correct option is C $2$ hours

Ratio of speeds $=3:4$

$\Rightarrow$ Ratio of times taken $=4:3$
Let $A$ and $B$ take $4x$ and $3x$ hrs to reach the destination.

Then $4x-3x=\frac{30}{60}=\frac{1}{2}$

$\Rightarrow x=\frac{1}{2}$
$\therefore$ Time taken by $A$ $=(4\times \frac{1}{2})$ hrs $=2$ hrs.