<PRE><B>Question 805050</B>
A car and motor cycle set of from the same point to travel the same journey.
the car leaves eight minutes before the motor cycle. if the car travels at 50km/h and the motor cycle at 70km/h how many kilometres from the starting point will they draw level.

Note the distance traveled by both is same when they meet

Let them meet at distance x km

car speed = 50 km/h
time for car to travel x miles is x/50

motor cycle time = x/70

motorcycle takes 8 minutes less to travel same distance
8 minutes = 8/60 = 2/15 hours

time taken by car - time taken by motor cycle = 2/15 hours

x/50 - x/75 = 2/15

LCD =150
(3x-2x)/150 =2/15
x/150 =2/15

cross multiply
15x=2*150
15x=300
/15
x=20

they will draw level at 20 km


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