Question

$A$ runs twice as fast as $B$ and $B$ runs thrice as fast as $C.$ The distance covered by $C$ in $72$ minutes will be covered by $A$ in

• A. $18$ min
• B. $24$ min
• C. $16$ min
• D. $12$ min

Answer 1

The correct option is D $12$ min

Given, $V_A$ $=$ 2$V_B$

$V_B$ $=$ 3$V_C$, where $V_A$, $V_B$ and $V_C$ are speeds of $A$ , $B$ and $C$ respectively

$\Rightarrow$ $V_A$ $=$ $2\times 3\times$ $V_C$

$\Rightarrow$ $V_A$ $=$ $6V_C$

Hence, distance will be covered by $A$ in $=$ $\frac{72}{6}$ $=12$ min