SOLUTION: My teacher didn't explained this problem to us...I don't know how to solve this word problem..please help The time t (in minutes) that a vehicle can travel varies inversely with

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Question 1031894: My teacher didn't explained this problem to us...I don't know how to solve this word problem..please help
The time t (in minutes) that a vehicle can travel varies inversely with the average speed x (in miles per hour) that the vehicle travels. A particular vehicle takes 60 minutes to travel a specific distance at an average speed of 65 miles per hour.
a) write an equation that gives t as a function of a.
b) determine the time (in minutes) it will take the vehicle to travel the same distance at 50 miles per hour.
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
The time t (in minutes) that a vehicle can travel varies inversely with the average speed x (in miles per hour)
t
t =
A particular vehicle takes 60 minutes to travel a specific distance at an average speed of 65 miles per hour.

60 =
k= 3900
b) determine the time (in minutes) it will take the vehicle to travel the same distance at 50 miles per hour.
t= 3900/50
t= 78
78 minutes

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The time t (in minutes) that a vehicle can travel varies inversely with the average speed x (in miles per hour) that the vehicle travels. A particular vehicle takes 60 minutes to travel a specific distance at an average speed of 65 miles per hour.
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t = k/x
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Solve for "k":
60 = k/65
k = 3900
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a) write an equation that gives t as a function of x.
t = 3900/x
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b) determine the time (in minutes) it will take the vehicle to travel the same distance at 50 miles per hour.
t = 3900/50 = 78 minutes
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Cheers,
Stan H.
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