Question 169022
Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth?
.
Let x = time it took do get there
then
3.5 - x = time it took to return
.
100x = 75(3.5 - x)
100x = 262.5 - 75x
175x = 262.5
x = 1.5 hours
.
To find distance, we multiply the above by the 100 km/hr to get there:
1.5 * 100 = 150 km