Question

two runners start running together for a certain distance, one at 8kmph and another at 5 KMPH. the former arrives one and half an hour l, before the latter. the distance in km is?​

Answer 1

The distance is 20 km.

Step-by-step explanation:

Given : Two runners start running together for a certain distance, one at 8 kmph and another at 5 kmph. The former arrives one and half an hour.

To find : The distance in km ?

Solution :

Let the distance be x km.

One run at 8 kmph.

The time taken by one is

$T_1=\frac{x}{8}$

Another run at 5 kmph.

The time taken by another is

$T_2=\frac{x}{5}$

The former arrives one and half an hour.

i.e. $T_2-T_1=\frac{3}{2}$

$\frac{x}{5}-\frac{x}{8}=\frac{3}{2}$

$\frac{8x-5x}{40}=\frac{3}{2}$

$\frac{3x}{40}=\frac{3}{2}$

$x=\frac{3\times 40}{2\times 3}$

$x=20$

The distance is 20 km.

#Learn more

Two runners cover the same distance at the rates of the 10 km/hr and 12 km/hr respectively. Find the distance travelled when one takes 16 minutes longer than the other.

https://brainly.in/question/4428024