Question

Sudha takes 4 hours more than Jiya to walk 24 km. If Sudha doubles her speed she is ahead of Hits by 2hours . Find their speed (2km/ hr; 3km/hr

Answer 1

4+24=28
28+28=56
56/2=28
we should find speed =distance/times taken then,
4+24=28/2 =12
12/3=4
then their speed is 4km

Answer 2

Answer:

The speed of Sudha is 2 km/hr and speed of Jiya is 3 km/hr.

Step-by-step explanation:

Given : Sudha takes 4 hours more than Jiya to walk 24 km. If Sudha doubles her speed she is ahead of Hits by 2hours .

To find : Their speed

Solution :

Relation between speed , distance and time is $\text{Time}=\frac{\text{Distance}}{\text{speed}}$

Distance covered = 24 km

Let the speed of Sudha is x km/hr.

Let the speed of Jiya is y km/hr.

So, time taken by Sudha is $\frac{24}{x}$

Time taken by Jiya is $\frac{24}{y}$

→ Sudha takes 4 hours more than Jiya to walk 24 km.

Equation form is $\frac{24}{x}- \frac{24}{y}=4$

$24y-24x=4xy$..........[1]

→ If Sudha doubles her speed she is ahead of Hits by 2 hours .

Equation form is $\frac{24}{y}- \frac{24}{2x}=2$

$48x-24y=4xy$ ............[2]

Add equation [1] and [2]

Therefore, $24x=8xy$    

$y=3$

Put in equation [2]

$48x-24y=4xy$

$48x-24(3)=4x(3)$

$48x-12x=72$

$36x=72$

$x=2$

Therefore, The speed of Sudha is 2 km/hr and speed of Jiya is 3 km/hr.