SOLUTION: The average speed of a car is three times as fast as a cyclist. To travel 225km, the cyclist requires 5 more hours than the car. Determine how long it took each vehicle to reach 22
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-> SOLUTION: The average speed of a car is three times as fast as a cyclist. To travel 225km, the cyclist requires 5 more hours than the car. Determine how long it took each vehicle to reach 22
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Question 865775: The average speed of a car is three times as fast as a cyclist. To travel 225km, the cyclist requires 5 more hours than the car. Determine how long it took each vehicle to reach 225 km. Found 2 solutions by mananth, josmiceli:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! cyclist speed =x
car speed = 3x
d= rt
time by car = 225/3x
Time by cyclist= 225/(x)
Time cyclist - time car =5
225/x - 225/3x =5
(675-225)/3x=5
450=15x
x=30 speed of cyclist
time of cyclist 225/30
=7.5 hours
Time car = 7.5 -5=2.5 hours
You can put this solution on YOUR website! Let = the time in hours for the car
to travel km = the time in hours for the cyclist
to travel km
Let = the speed of the cyclist in km/hr = the speed of the car in km/hr
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Equation for the cyclist:
(1)
Equation for the car:
(2)
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(1)
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
-----------------
and
(1)
(1)
(1)
It took the car 2.5 hrs to go 225 km
It took the cyclist 7.5 hrs to go 225 km
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check:
(2)
(2)
(2)
OK
(1)
(1)
(1)
(1)
OK
