SOLUTION: a bicyclist make the trip between two towns in 5.25 hours. A car with an average speed 30 miles faster than the bicycle, makes the same trip in 1.5 hours. How fast is the car going

Question 553491: a bicyclist make the trip between two towns in 5.25 hours. A car with an average speed 30 miles faster than the bicycle, makes the same trip in 1.5 hours. How fast is the car going?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the bicycle
Let = the distance between the towns
given:
= the speed of the car
Equation for bicycle:
(1)
Equation for the car:
(2)
---------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)

The car is going 42 mi/hr
check answer:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
OK
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