SOLUTION: 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 emjoy the scenery, so she drove

Question 895049: 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 emjoy the scenery, so she drove at just 75 km/h. Her trip involved a total of 3.5 hours of driving time. What is the distance between Bedingfield and Portsmouth?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs going
Let = time in hrs coming back
Driving from Bedingfield to Portsmouth:
(1)
Driving back:
(2)
and, also:
(3)
--------------------------
By substitution:
(1)
(1)
Substitute (1) into (3)
(3)
(3)
(3)
(3)
and
(3)
(3)
(3)
------------------
(1)
(1)
(1)
The distance between Bedingfield and Portsmouth
is 150 km
--------------
check:
(2)
(2)
(2)
OK
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