ACT Rates

The depth of a swimming pool is 180cm. Every week, evaporation causes it to be reduced in depth by 1cm. The depth of a second swimming pool is 175cm. Every week, evaporation causes it to be reduced in depth bu 1/2cm per week. If the depths of both swimming pools continue to be reduced at these constant rates, in about how many weeks will the swimming pools have the same depths?

• 12
• 8
• 10
• 5

A car travels at a constant speed of 60 km/h. How long will it take to cover a distance of 180 km?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

A container is filled with 150 liters of water. If water leaks from the container at a rate of 2 liters per hour, how many hours will it take for the container to be empty?

• 75 hours

• 60 hours

• 72 hours

• 80 hours

A cyclist travels a distance of 90 km in 3 hours. What is the average speed of the cyclist in km/h?

• 30 km/h

• 25 km/h

• 20 km/h

• 35 km/h

Car A holds 15 gallons of gas in its tank and burns a gallon of gas for every 20 miles it travels. Car B holds 12 gallons of gas in its tank and burns a gallon of gas for every 30 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 180

• 200 miles
• 150 miles
• 250 miles

Car A holds 16 gallons of gas in its tank and burns a gallon of gas for every 20 miles it travels. Car B holds 12 gallons of gas in its tank and burns a gallon of gas for every 32 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 384 miles

• 250 miles
• 213 miles

• 180 miles

Car A holds 16 gallons of gas in its tank and burns a gallon of gas for every 20 miles it travels. Car B holds 14 gallons of gas in its tank and burns a gallon of gas for every 30 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 150 miles
• 120 miles

• 200 miles
• 180 miles

Car A holds 8 gallons of gas in its tank and burns a gallon of gas for every 20 miles it travels. Car B holds 6 gallons of gas in its tank and burns a gallon of gas for every 30 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 80 miles
• 100 miles
• 120 miles
• 48 miles

Car A holds 15 gallons of gas in its tank and burns a gallon of gas for every 12 miles it travels. Car B holds 13 gallons of gas in its tank and burns a gallon of gas for every 28 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 195 miles

• 500 miles
• 326 miles

• 336 miles

Car A holds 15 gallons of gas in its tank and burns a gallon of gas for every 7 miles it travels. Car B holds 13 gallons of gas in its tank and burns a gallon of gas for every 8 miles it travels. Both cars begin their journey at the same time with full tanks of gas. About how many miles would the cars have to travel before both cars have the same amount of gasoline in their tanks?

• 122 miles

• 132 miles

• 112 miles

• 182 miles