Quiz about ACT Rates

Question 1

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?

Accepted Answer

10

Answer

12

Answer

8

Answer

5

Question 2

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

Accepted Answer

3 hours

Answer

2 hours

Answer

4 hours

Answer

5 hours

Question 3

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?

Accepted Answer

75 hours

Answer

60 hours

Answer

72 hours

Answer

80 hours

Question 4

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

Accepted Answer

30 km/h

Answer

25 km/h

Answer

20 km/h

Answer

35 km/h

Question 5

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?

Accepted Answer

180

Answer

200 miles

Answer

150 miles

Answer

250 miles

Question 6

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?

Accepted Answer

213 miles

Answer

384 miles

Answer

250 miles

Answer

180 miles

Question 7

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?

Accepted Answer

120 miles

Answer

150 miles

Answer

200 miles

Answer

180 miles

Question 8

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?

Accepted Answer

120 miles

Answer

80 miles

Answer

100 miles

Answer

48 miles

Question 9

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?

Accepted Answer

336 miles

Answer

195 miles

Answer

500 miles

Answer

326 miles

Question 10

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?

Accepted Answer

122 miles

Answer

132 miles

Answer

112 miles

Answer

182 miles

Question 11

Car A holds 18 gallons of gas in its tank and burns a gallon of gas for every 40 miles it travels. Car B holds 16 gallons of gas in its tank and burns a gallon of gas for every 75 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?

Accepted Answer

171 miles

Answer

236 miles

Answer

239 miles

Answer

175 miles

Question 12

The depth of a swimming pool is 160 cm. Every week, evaporation causes it to be reduced in depth by 3 cm. The depth of a second swimming pool is 130 cm. Every week, evaporation causes it to be reduced in depth by 2 cm 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?

Accepted Answer

30

Answer

20

Answer

40

Answer

28

Question 13

The depth of a swimming pool is 200 cm. Every week, evaporation causes it to be reduced in depth by 5 cm. The depth of a second swimming pool is 180 cm. Every week, evaporation causes it to be reduced in depth by 4 cm 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?

Accepted Answer

20 weeks

Answer

10 weeks

Answer

15 weeks

Answer

5 weeks

Question 14

The depth of a swimming pool is 300 cm. Every week, evaporation causes it to be reduced in depth by 10 cm. The depth of a second swimming pool is 275 cm. Every week, evaporation causes it to be reduced in depth by 8 cm 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?

Accepted Answer

12.5

Answer

13

Answer

11

Answer

11.5

Question 15

The depth of a swimming pool is 250 cm. Every week, evaporation causes it to be reduced in depth by 1 cm. The depth of a second swimming pool is 220 cm. Every week, evaporation causes it to be reduced in depth by 1/2 cm 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?

Accepted Answer

60

Answer

30

Answer

45

Answer

75

Question 16

Car A holds 10 gallons of gas in its tank and burns a gallon of gas for every 15 miles it travels. Car B holds 8 gallons of gas in its tank and burns a gallon of gas for every 25 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?

Accepted Answer

200 miles

Answer

150 miles

Answer

100 miles

Answer

250 miles

Question 17

The depth of a swimming pool is 220 cm. Every week, evaporation causes it to be reduced in depth by 2 cm. The depth of a second swimming pool is 200 cm. Every week, evaporation causes it to be reduced in depth by 1 cm 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?

Accepted Answer

20 weeks

Answer

15 weeks

Answer

10 weeks

Answer

25 weeks

Question 18

A car travels at a constant speed of 80 km/h. How long will it take to cover a distance of 240 km?

Accepted Answer

4 hours

Answer

2 hours

Answer

3 hours

Answer

5 hours

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