The time t required to drive a certain distance varies inversely with the speed r. if it takes 2 hours to drive the distance at 30 miles per hour, how long will it take to drive the same distance at 50 miles per hour? . a.. 60 hours. b.. 1.2 hours. c.. 750 hours. d.. about 3.33 hours

The time taken to travel a distance of 60 miles at the speed of 50 miles per hour is:

1.2 hours.  ( Option: B)

Step-by-step explanation:

It is given that:

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

Let d denotes the distance traveled.

We know that:

i.e.

Now it takes 2 hours to drive the distance at 30 miles per hour.

i.e. we have t=2 hours

r=30 miles per hour.

Hence, the distance traveled is:

Now, we are asked to find the time taken to drive the same distance at 50 miles per hour i.e.  we have d=60 miles.

and r=50 miles per hour.

Hence,

Hence, option: B is the correct answer.

B.   1.2 hours.

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step-by-step explanation: