How to find rate

Practice Questions

ACT Math › How to find rate

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1

At the beginning of a race, a person's speed is miles per hour. One hour into the race, a person increases his speed by . A half an hour later, he increases again by another . If he finishes this race in two hours, what is the average speed for the entire race? Round to the nearest hundredth of a mile per hour.

2

A new car can travel an average of 63 miles per gallon of gasoline. Gasoline costs $5.05 per gallon. How much would it cost to travel 6,363 miles in this car?

3

Twenty bakers make dozen cookies in eight hours. How many cookies does each baker make in an hour?

4

A motorcycle on a full tank of gas travels 478 miles. If a full tank of gas is 12 gallons, and gas costs $4.25 per gallon, what is the approximate miles per gallon rating of the motorcycle, and how much will a full tank of gas cost?

5

A motorcycle averages 47 miles per gallon. If gas costs $4.13 per gallon, how much gas money is needed for a 1,457 mile road trip?

6

A climber scrambles over yards of rocks in minutes and then returns across the rocks. If his total rate was yards per minute, how long did it take him to return back?

7

Sam can paint a house in three days while Dan can finish painting one in two days. How long would it take to paint two houses if they worked together?

8

Hannah can travel to her destination in one of two ways: she can drive due north for 36 miles, then due west for 44 miles, traveling an average of 65 miles per hour. Or she can drive directly to the destination, heading northwest, traveling an average of 40 miles per hour. What is the difference, to the nearest minute, between the two routes?

9

A farmer has a piece of property that is 10,000 feet by 40,000 feet. His annual property taxes are paid at a rate of $3.50 per acre. If one acre = 43,560 ft2, how much will the farmer pay in taxes this year? Round to the nearest dollar.

10

A large reservoir, holding , has an emptying pipe that allows out . If an additional such pipe is added to the reservoir, how many gallons will be left in the reservoir after three days of drainage occurs, presuming that there is no overall change in water due to addition or evaporation.

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