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20 POINTS! The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours to drive the d
Question
20 POINTS!
The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours
to drive the distance at 50 miles per hour, how long will it take to drive the same distance at 40
miles per hour?
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Mathematics
4 months
2021-09-05T16:22:31+00:00
2021-09-05T16:22:31+00:00 1 Answers
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Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours