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
Algebra.Com
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
Answer by josmiceli(19441) (Show Source): 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
-------------------------------------
Equation for the cyclist:
(1)
Equation for the car:
(2)
-----------------------
(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
-----------------------------------
check:
(2)
(2)
(2)
OK
(1)
(1)
(1)
(1)
OK
RELATED QUESTIONS
The average speed of a car is three times as fast as the average speed of a cyclist. To... (answered by ikleyn,greenestamps)
Two cyclists leave town at the same time on the same road going in the same direction.... (answered by ankor@dixie-net.com)
A cyclist takes 5 hours to travel 65 miles while pedaling against the wind. If the speed... (answered by Alan3354)
The average speed of an airplane is five times as fast as the average speed of a... (answered by ikleyn,Alan3354)
A car travels 20km / h faster than a cyclist. The car takes one hour less than the... (answered by ankor@dixie-net.com)
A cyclist takes 3 hours to travel 45 miles while pedaling against the wind. If the speed... (answered by josmiceli)
If a cyclist takes 4 hours to travel 48 miles, what is the cyclist’s average speed in... (answered by solver91311)
If a cyclist takes 4 hours to travel 72 miles, what is the cyclist’s average speed in... (answered by Cromlix)
1) What quanity of 75% acid solution must be mixed with a 30% solution to produced 1080mL (answered by Nate)