Question

While covering a distance of $30$ km. Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take $1$ hour less than Amit. Find their speeds of walking.

Answer 1

Distance$=$speed$\times$time

Let the speed of Ajeet and Amit is $x,y$ respectively

From the given conditions

$\frac{30}{x}=2+\frac{30}{y}\cdots \left(1\right)$

$\frac{30}{2\left(x\right)}=\frac{30}{y}-1\cdots \left(2\right)$

$\left(1\right)-\left(2\right)⟹\frac{30}{2\left(x\right)}=3⟹x=5$

From $\left(1\right)⟹6=2+\frac{30}{y}⟹y=\frac{30}{4}=7.5$

The speeds of Ajeet and Amit are $5,7.5$ km$/$hr respectively