SOLUTION: Can anyone out there help me with this? I do not understand how to solve this. Over a specified​ distance, rate varies inversely with time. If a car on a test track goes a ce

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Question 1137464: Can anyone out there help me with this? I do not understand how to solve this.
Over a specified​ distance, rate varies inversely with time. If a car on a test track goes a certain distance in one-half minute at 146 ​mph, what rate is needed to go the same distance in two-thirds ​minute?
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
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rate varies inversely with time. If a car on a test track goes a certain distance in one-half minute at 146 ​mph, what rate is needed to go the same distance in two-thirds ​minute?
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r, rate
t, time
k, variation constant

First sentence means, r=k%2Ft.

The fact that the time units involved in the next part of description are not the same is not a problem here.
Second sentence gives t=1/2 and r=146. Use these to get a value for k.

r=k%2Ft
r%2At=k
k=146%2A%281%2F2%29
k=73
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Formula is highlight_green%28r=73%2Ft%29.
You can look into the units for k, if you want to.


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what rate is needed to go the same distance in two-thirds ​minute?
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r=73%2F%282%2F3%29

r=73%283%2F2%29

highlight%28r=109%261%2F2%29mph