Question

Sudheer takes 4 hours more than Joseph to walk 24 km. If Sudheer doubles his speed, he is ahead of Joseph by 2 hours. Find their speeds.

Answer 1

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]  

$24x=8xy$

$y=3$

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.