SOLUTION: A motorist travelled from town x to Town Y. After travelling for 1.5hour, he passed a cyclist travelling at an average spped of 45 km/h in the opposite direction. when the motorist

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Question 741222: A motorist travelled from town x to Town Y. After travelling for 1.5hour, he passed a cyclist travelling at an average spped of 45 km/h in the opposite direction. when the motorist reached town y two hours later, the cyclist was 30 km away from Town X.
a) Find the average speed of the motorist
b) Find the distance between town x and town y.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
from the meeting point motorist took 2 hours to reach Y.
In two hours cyclist would have gone 90 km
he was 30 km from X
So total distance of 90+30 =120 km the motorist took 1.5 hours
r=d/t
120/1.5 = 80 km/h motorist speed.
Total time by motorist = 3.5 hours
distance between X & Y = 80 *3.5 =280 km