Question

A man covers a distance of $25$ km in an hour, partly on foot at the rate of $4$ km/hr and partly on motorcycle at $32$ km/hr. Find the distance travelled on the motorcycle.

• A. $14$km
• B. $32$km
• C. $24$km
• D. $9$km

Answer 1

Answer: (C)

$24$km

Distance $=25$ km in one hour.

Speed walking $=4$ km/hr

Speed on bike $=32$ km/hr

Distance covered on bike during the $1$ hr $=x$

Distance covered walking during the $1$ hr $=25-x$

Time to cover the $25$ km $=\frac{x}{32}+\frac{25-x}{4}=1$hr.

$x+8(25-x)=32$

$\Rightarrow x+200-8x=32$

$\Rightarrow 7x=168$

$\Rightarrow x=24$ km