SOLUTION: The amount of time for a trip varies inversely as the speed traveled. A car reached its destination in 9 hours traveling at 60 mph. What must its speed be to get there in only 8 ho

Question 175478: The amount of time for a trip varies inversely as the speed traveled. A car reached its destination in 9 hours traveling at 60 mph. What must its speed be to get there in only 8 hours?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let t=time and r=rate/speed

"The amount of time for a trip varies inversely as the speed traveled" translates to

Now find the value of k:

Start with the given equation.

Plug in and

Multiply both sides by 60 to isolate k.

Multiply

So the value of k is

-----------------------------------------------

So the equation becomes {{t=540/r}}} after plugging in

Now let's answer the question: "What must its speed be to get there in only 8 hours?"

Start with the given equation.

Plug in

Multiply both sides by r.

Divide both sides by to isolate .

Reduce.

Divide.

So the speed would need to be 67.5 mph in order to get there in 8 hrs

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