Help on math exam?

Question

A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second.

3 ft = 1 yd

5280 ft = 1 mi

How much faster does the fish swim than the boy in yards per minute?

Answer 1

The fish swims at a rate of 12 miles per hour. We need to convert that rate to yards per minute.

So, let's convert 12 miles into yards.

12 miles = (5280 × 12) feet = 63360 feet

(63360/3) yds = 21120 yds per hour.

Now that we have 12 miles converted into 21120 yards, we need to convert that number in the number of yards per minute, instead of per hour. There are 60 minutes in an hour, so we need to divide the number 21120 by 60 minutes to get the number of yards per minute.

21120/60 = 352 yards per minute

The boy swims at a rate of 4.4 feet per second.

If there are 60 seconds in a minute, and the boy swims 4.4 ft per second, then he swims (4.4 × 60)feet per minute or 264 feet per minute. Now, how many yards does he swim in a minute?

264/3 = 88 yards per minute

352 - 88 = the fish is 264 yards per minute faster.