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The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 9 hours for a car moving at 35 mph.

How long does the trip take for a car moving at 21 mph ?

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If the time it takes to cover a distance by car varies inversely with the speed of the car, then we can use the formula:

time = k / speed

where k is a constant of proportionality. We can find the value of k by using the information given in the problem.

When the car is moving at 35 mph, the time it takes to complete the trip is 9 hours. So we can write:

9 = k / 35

Multiplying both sides by 35, we get:

k = 315

Now we can use this value of k to find the time it takes for a car moving at 21 mph:

time = 315 / 21
time = 15 hours

Therefore, it would take a car moving at 21 mph a total of 15 hours to cover the same distance that a car moving at 35 mph covers in 9 hours.
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