A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 46 minutes? In 1 hour?

9514 1404 393

Step-by-step explanation:

The speed of the car in miles per minute is ...

  (2 1/2 miles)/(3 1/3 minutes) = (5/2)/(10/3) miles/minute

  = (5/10)(3/2) miles/minute = 3/4 miles/minute

Then in 46 minutes, the car will travel ...

  (3/4 miles/minute)(46 minutes) = (138/4) miles = 34 1/2 miles

The car will travel 34 1/2 miles in 46 minutes.

__

In 60 minutes, the car will travel ...

  (3/4 miles/minute)(60 minutes) = 45 miles

The car will travel 45 miles in 1 hour.

Step-by-step explanation:

its a ratio and proportion:

2.5 miles =  x miles

3.33 min       46 min

3.33(x) = 2.5 (46)

x = 34.5 miles (in 46 min)

its a ratio and proportion:

2.5 miles =  x miles

3.33 min       60 min

3.33(x) = 2.5 (60)

x = 45 miles (in 1 hour)

the least common denominator is 40

42

step-by-step explanation: