SOLUTION: two families who live 80 km apart met at a park between their homes for a picnic. How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than

Question 557036: two families who live 80 km apart met at a park between their homes for a picnic. How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than the other.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
two families who live 80 km apart met at a park between their homes for a picnic.
How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than the other.
:
Change 10 min to 1/6 hr
:
Let t = travel time of one family
then
(t+) = travel time of the other family
:
Write a distance equation; dist = speed * time
50t + 50(t+) = 80
simplify divide by 10
5t + 5(t+) = 8
5t + 5t + = 8
10t + = 8
mult by 6 to get rid of the fraction
60t + 5 = 48
60t = 48 - 5
60t = 43
t = 43/60 hrs
which is 43 minutes travel time of the 1st family, then obviously,
53 min is the travel time of the 2nd family
:
:
We can confirm this by finding the total distance traveled
43/60 * 50 = 35.83 km
53/60 * 50 = 44.17 km
------------------------
total traveled: 80 km

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