SOLUTION: 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

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Question 805050: 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.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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