Level 3
During Christmas, Vincent's candle and Ethan's candle were placed on an altar. Vincent's candle was 3 cm longer than Ethan's candle. Vincent's candle and Ethan's candle were lit at 5:30 p.m. and 9:00 p.m. respectively. They burnt down to the same height at 10:30pm. At 1:30 a.m., Ethan's candle was burnt out while Vincent's candle was burnt out at 3:30 a.m. Find the original heights of Vincent's candle and Ethan's candle.
Level 3
If Albert and Marvin work together, they can complete a job in 14 days. If Albert and Marvin worked together for 7 days, followed by Marvin who worked alone for the next 21 days, they can finish off the job.
How long can Marvin finish the work alone? Express the answer in days.
How long can Albert finish the work alone? Express the answer in days.
Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting.
If Kenny and Bill paint the same house, they take 8 days to finish painting.
If Henry and Mark paint the same house, they take 12 days to finish painting.
How many days do Kenny and Mark take to paint the house if they work together?
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Level 3
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
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?
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?
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.
