Question

a car travels 21/3 miles in 331/2 minutes at a constant speed write an equation to represent the distance the car travels, d, in miles for h hours

Answer 1

This answer assumes changes in the way the problem is written.

d = (4.18 miles/hour)*h

Explanation:

The distance an object travels, d, is given by:

d = (speed)*(time)

We are given distance and time, so we could calculate speed:

d = (speed)*(time)

(speed) = d/(time)

As written, the disttance is 21/3 miles and the time is 331/2 minutes.

speed = (21/3)miles/(331/2)minutes

speed = (21/3)*(2/331) miles/minute

speed = (42/993) miles/minute

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This seems like an unlikely speed for a car. So I will assume that "331/2 minutes" is meant to read "33 1/2 minutes" and "21/3 miles" means "2 1/3 miles."

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speed = (2 1/3)miles/(33 1/2)minutes

Speed = 0.0697 miles/minute [Equivalent to 4.18 miles/hour]

Assuming the car ttravels at a constant speed of 4.18 miles/hour, we can write:

Distance, d = (4.18 miles/hour)*h, where h is time in hours.