Question:

Level 3

The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?

The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?

4 m

Level 3

It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.

4 m
It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.

Level 3

At first, Container X, measuring 80 cm by 20 cm by 60 cm was empty and three fifth of Container Y, measuring 60 cm 30 cm by 42 cm, was filled with water. Both faucets were turned on at the same time and water from both faucets flowed at the same rate of 1.6 litres per minute. How long did it take for the height of the water to be the same in both containers?

At first, Container X, measuring 80 cm by 20 cm by 60 cm was empty and three fifth of Container Y, measuring 60 cm 30 cm by 42 cm, was filled with water. Both faucets were turned on at the same time and water from both faucets flowed at the same rate of 1.6 litres per minute. How long did it take for the height of the water to be the same in both containers?

4 m

Level 3 PSLE

Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm^{3} )

Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm

4 m

Level 3

The figure is not drawn to scale. At first, Tank A, measuring 60 cm by 10 cm by 40 cm was empty and one third of Tank B, measuring 50 cm by 20 cm by 36 cm, was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.2 litres per minute. How long did it take for the height of the water to be same in both tanks?

The figure is not drawn to scale. At first, Tank A, measuring 60 cm by 10 cm by 40 cm was empty and one third of Tank B, measuring 50 cm by 20 cm by 36 cm, was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.2 litres per minute. How long did it take for the height of the water to be same in both tanks?

4 m

Level 3

Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m. , both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.

5 m
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m. , both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.

Level 3

Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes^{1}_{3} hour for all the water to flow out. If both taps are turned on at the same time,

5 m
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes

- How long does it take to fill 40% of the tank?
- How much water has flowed out through Tap B by the time the tank is
^{3}_{5}filled with water?

Level 3

To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?

5 m
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?

Level 3

The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.

The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.

- Find the time taken for the heights of the water level to be the same in both tanks.
- Find the height of the water level at that point of time.

5 m

Level 1

At a factory, Bryan could assemble 7 robots in a day while Francis could assemble 4 more robots than him in a day. If Francis was absent for 3 days, how many days would he need to assemble 17 more robots than Bryan?

2 m
At a factory, Bryan could assemble 7 robots in a day while Francis could assemble 4 more robots than him in a day. If Francis was absent for 3 days, how many days would he need to assemble 17 more robots than Bryan?