Question

A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?

? miles per hour

(Hint: Convert one minute to a fraction of an hour.)

Answer 1

`(.75miles)/(1 minute) (60 minutes)/(1 hour)`

the fractions are set up so minutes cancel out

multiply the numerators to get 45 miles

multiply the denominators to get 1 hour

45 miles per hour

hope this helped

Answer 2

Distance traveled by car in one minute = 3/4 mile

The relation between hour and minutes is given by:

one hour = sixty minutes

one minute = 1/60 hours

so we can replace one minute by 1/60 hours

Distance traveled by car in one minute =3/4 mile

Distance traveled by car in 1/60 hour =3/4 miles

distance traveled by car in 1 hour = (3/4) ÷(1/60)

In division we take reciprocal of the number after division sign and multiply it with first.

Reciprocal of 1/60 is 60

so multiplying 3/4 and 60

`(3)/(4) * 60 = (3*60)/(4) = (180)/(4) = 45`

So distance traveled by car in one hour is 45 miles.

Speed of car is 45 miles per hour .