The time (t) required to drive a certain distance varies inversely with speed (r). if it takes 2 hours to drive 30 miles per hour, how long will it take to drive the same distance at 35 miles per hour? a: 525 hours b: about 2.33 hours c: 60 hours d: about 1.71 hours

Answer

Find out the how long will it take to drive the same distance at 35 miles per hour.

To prove

As given

The time (t) required to drive a certain distance varies inversely with speed (r).

Where k is the constant of proportionality.

If it takes 2 hours to drive 30 miles per hour.

Here t = 2 hours

        r = 30 miles per hour

k = 2 × 30

k = 60

Now calculate t for r = 35 miles per hour

t = 1.71 hours (Approx)

Therefore Option (D) is correct.

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