Question

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

• A. $28:25$
• B. $26:25$
• C. $3:2$
• D. $3:1$
• E. Answer Required

Answer 1

The correct option is E Answer Required

Ratio of speed $=3:4$
Ratio of time $=4:3$
Let $A$ takes $4x$ hrs, $B$ takes $3x$ hrs
Then $4x-3x=\frac{30}{60}$ hr
$\Rightarrow x=\frac{1}{2}$ hr
Time taken by $A$ to reach the destination is $4x=4\times \frac{1}{2}=2$ hr.