What is the distance from B to P?

Question

Natasha drove from Bedingfield to Portsmouth at an average speed of 100 km/h to attend a job interview. On the way back she decided to slow down to enjoy the scenery, so she drove at 75 km/h. Her trip was a total of 3.5 hours. What was the distance between Bedingfield and Portsmouth?

Answer 1

t is the time driving to the interview at 100 km/hr

then 3.5-t is the time of the return trip at 75 km/hr

100 t = 75 ( 3.5 - t)

100t = 262.5 - 75t

175t = 262.5

t = 1.5

100 * 1.5 = 150

75 *(3.5-1.5) = 75*2 = 150

150 km