SOLUTION: jim williamson began a 96 mile bike trip to build up stanima for a triathlete competition. unfortunately his bike chain broke so he finished the tip walking. the whole trip took 6
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Question 402959: jim williamson began a 96 mile bike trip to build up stanima for a triathlete competition. unfortunately his bike chain broke so he finished the tip walking. the whole trip took 6 hours if jim walks at a rate of 4 miles per hour and bikes at the rate of 20 mph find the amount of time he spent on the bike. ?? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! jim williamson began a 96 mile bike trip to build up stanima for a triathlete competition.
unfortunately his bike chain broke so he finished the tip walking.
the whole trip took 6 hours
if jim walks at a rate of 4 miles per hour and bikes at the rate of 20 mph find
the amount of time he spent on the bike. ??
:
At request of student, change this to two equations with two unknowns
:
Let b = his biking time
then
w = his walking time
:
Two equations, one is a time equation, the other a distance equation
:
Time
b + w = 6
rearrange for substitution
w = (6-b)
Distance equation
20b + 4w = 96 miles
Substitute (6-b) for w in the above equation
20b + 4(6-b) = 96
20b + 24 - 4b = 96
20b - 4b = 96 - 24
16b = 72
b =
b = 4.5 hrs on the bike
:
:
Check solution by finding the distance of each (walk time: 6-4.5 = 1.5)
4(1.5) = 6 mi
20(4.5)= 90
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total: 96 mi; confirms our solution of t = 4.5
