SOLUTION: A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours. Find x and y

Question 676507: A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours. Find x and y
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours.
Find x and y
:
Write an equation for the time and one for the distance
:
x + y = 5
x = (5-y); use this for substitution
:
12x + 18y = 78
Replace x
12(5-y) + 18y = 78
60 - 12y + 18y = 78
-12y + 18y = 78 - 60
6y = 18
y = 3 hrs
:
You can find x
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