SOLUTION: Cars A and B started simultaneously from opposite ends of a straight 315-mile road and travelled towards each other without stopping until they passed each other at location X.
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Question 743631: Cars A and B started simultaneously from opposite ends of a straight 315-mile road and travelled towards each other without stopping until they passed each other at location X.
The average speed of car B was 15 mph higher than car A's.
If car B's average speed is a third higher than that of Car A, how many miles of the road had car A travelled when the two cars passed each other?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Cars A and B started simultaneously from opposite ends of a straight 315-mile road and travelled towards each other without stopping until they passed each other at location X.
The average speed of car B was 15 mph higher than car A's.
If car B's average speed is a third higher than that of Car A, how many miles of the road had car A travelled when the two cars passed each other?
D= 315
Car A speed = a mph.............x miles
car B speed = a+15..............315-x miles
(a+15)=(1/3)a+a
a+15=4a/3
4a/3-a=15
a=45................ speed of car A
speed of car B = 45+15=60 mph
Times are equal
x/45= (315-x)/60
60x=45(315-x)
60x=1575-45x
105x=14175
x=135
Car A has traveled = 135 miles
Car B has traveled the balance=>180 miles
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