SOLUTION: a motorcycle breaks down and the rider has to walk the rest of the way to work. motorcycle was going 45mph and the rider walks at a speed of 6mp/h. distance from home to work is
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Question 425501: a motorcycle breaks down and the rider has to walk the rest of the way to work. motorcycle was going 45mph and the rider walks at a speed of 6mp/h. distance from home to work is 25 miles. total time for the trip was 2 hours. how far did the motorcycle go before it broke down? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a motorcycle breaks down and the rider has to walk the rest of the way to work.
motorcycle was going 45 mph and the rider walks at a speed of 6mp/h.
distance from home to work is 25 miles.
total time for the trip was 2 hours.
how far did the motorcycle go before it broke down?
:
Let m = distance traveled by motor cycle
Total distance is 25 mi, therefore:
(25-m) = distance walked
:
Write a time equation: time = dist/speed
:
Motorcycle time + walking time = 2 hrs + = 2
Multiply by 90 to clear denominators, results:
2m + 15(25-m) = 90(2)
:
2m + 375 - 15m = 180
:
2m - 15m = 180 - 375
:
-13m = -195
m =
m = 15 mi on the motorcycle
:
:
Check solution by finding the times, (walk dist 25-15 = 10 mi )
15/45 = .33 hr
10/6 = 1.67
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total: 2.00 hrs
