SOLUTION: saratoga and new york are 180 miles apart. a truck traveled from new york toward saratoga at the rate of 44 mph. another truck traveled from saratoga toward new york at the rate of

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Question 165955: saratoga and new york are 180 miles apart. a truck traveled from new york toward saratoga at the rate of 44 mph. another truck traveled from saratoga toward new york at the rate of 36 mph. how many miles did each travel before they met?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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saratoga and new york are 180 miles apart. a truck traveled from new york toward saratoga at the rate of 44 mph. another truck traveled from saratoga toward new york at the rate of 36 mph. how many miles did each travel before they met?
:
I guess we assume that they left at the same time:
:
First find the time
t = time for this to happen
:
When they meet, they will have traveled to total of 180 mi
:
Write a distance equation from the this fact; Dist = speed * time
:
44t + 36t = 180
:
80t = 180
t = 180%2F80
t = 21%2F4 = 2.25 hrs
:
1st truck dist: 44 * 2.25 = 99 mi
2nd truck dist: 36 * 2.25 = 81 mi
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check by finding total dist 180