Question

Julie goes to office at a speed of 6 km/h and returns to her home at a speed of 4 km/h. If she takes 10
hours in all, what is the distance between her office and her home?

24
12
10
30 ​

Answer 1

The answer is 24 kms.

Explanation:

Let’s say she takes x hours to go to office and 10-x hours to come back

6x = 4(10-x)

6x = 40 - 4x

10x = 40

x = 4

She takes 4 hours to go to office and 6 hours to come back

Distance to office = speed X time

6 km/h X 4 h = 24 kms

Answer 2

The answer is 24 kms.

Explanation:

Given :-

Speed while going from home =6 km/h

Speed while returning home = 4 km/ hr

To find :-

The distance between her office and her home

Let’s say she takes x hours to go to office and 10-x hours to return.

6x = 4(10-x)

6x = 40 - 4x

10x = 40

x = 4

She takes 4 hours to go to office and 6 hours to come back

Distance to office = speed X time

6 km/h X 4 h = 24 kms