SOLUTION: the speed of a laundry truck varies inversly with the time it takes to reach its destination. if the truck takes 3 hours to reach its destination traveling at a constant speed of 5

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Question 397662: the speed of a laundry truck varies inversly with the time it takes to reach its destination. if the truck takes 3 hours to reach its destination traveling at a constant speed of 50 mph, how long will it take to reach the same location when it travels at a constant speed of 60 mph?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The speed of a laundry truck varies inversly with the time it takes to reach its destination. if the truck takes 3 hours to reach its destination traveling at a constant speed of 50 mph, how long will it take to reach the same location when it travels at a constant speed of 60 mph?
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s = k/t
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Solve for "k" using "the truck takes 3 hours to reach its destination traveling at a constant speed of 50 mph".
40 = k/3
k = 120
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Equation for the problem:
s = 120/t
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How long will it take to reach the same location when it travels at a constant speed of 60 mph?
t = 120/s
---
t = 120/60
time = 2 hrs.
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Cheers,
Stan H.
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