Level 3
8 workers take 10 hours to build 4 bookshelves. How many hours will 6 workers take to build 2 bookshelves? Express the answer in mixed number of hours.
3 m
Level 3
50 men working 8 hours a day can finish building a boat in 10 days. How long would it take 60 men to finish building the same boat if they work the same number of hours a day?
3 m
Level 3
Machine X takes 5 minutes to cut 85 pieces of lumbers. Machine Y takes 15 minutes to cut 120 pieces of lumbers. Machine Z takes 10 minutes to cut 120 pieces of lumber.
  1. Which is the faster combination, X and Y or Y and Z? (Eg A, B)
  2. In 1 minute, how many more pieces of lumbers can be cut by the faster combination compared to the other combination?
3 m
Level 3
It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.
3 m
Level 3
Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?
3 m
Level 2
Tony drove a distance of 15 km in 10 minutes.
  1. What was his speed in km/h?
  2. How long will it take him to cover 360 km at this speed? Express the answer in hours.
3 m
Level 2
A van covers a distance of 45 km in 25 minutes.
  1. At what speed is it travelling?
  2. How long will it take to cover a distance of 36 km?
3 m
Level 3
Sam took 2 hours to walk from Building A to Building B which was 6 km away. On his way back from Building B to Building A, he increased his average walking speed by 1 km/h. How long did he take for his journey back?
3 m
Level 3
Jake walks to school at an average speed of 4 km/h every day. One day, after walking a distance of 1 km, he realised that his watch was slow. So, he ran at a constant speed and managed to reach his school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached his school 5 minutes earlier. What was his running speed?
3 m
Level 3 PSLE
Peter and Justin ran in a race around a 400 m track. Peter ran at a speed of 190 m/min and Justin at a speed that was 25 m/min slower than Peter throughout the race. How many complete rounds would Peter have finished when he had run a distance of 300 m more than Justin?
3 m
Level 3
Jimmy drove at an average speed of 72 km/h for 4 hours. He then reduced his average speed by 18 km/h and continued for another 5 hours before he reached his destination. Find his average speed for the whole journey.
3 m
Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
3 m
Level 3
A coach driver drove the first 4 h of a journey at an average speed 64 km/h. Driving at an average speed of 90 km/h, he then took another 5 h to complete his remaining journey. Find his average speed for the whole journey. Give the answer in mixed number.
3 m
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
Level 3
A car is travelling from Town A to Town B. At 60 km/h, it will arrive four hours later than the scheduled time. At 70 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town A and Town B?
3 m
Level 3
Wilson started travelling at 10 a.m. at a speed of 75 km/h towards a town. Timmy started travelling towards the town from the same place 3 hours later. When Wilson reached the town at 6 p.m., Timmy had another 180 km to travel. What was Timmy's average speed?
3 m
Level 3
Loisa left the house at 11.30 a.m. and drove towards her office. 1 hour later, her brother left house and drove towards the same office at 76 km/h. When the brother reached the office at 3.30 p.m., Loisa had another 3 km to travel. What was Loisa's average speed? Express the answer in mixed number.
3 m
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
3 m
Level 3 PSLE
When Jen started jogging from her home, Lynn was 1.3 km ahead. Jen jogged at 8 km/h and Lynn jogged at 6 km/h. They went in the same direction and did not change their speeds throughout.
  1. How far did Jen jog in 45 minutes?
  2. Who was ahead after 45 minutes? How far apart were they? Give your answers in this format. (Eg Ben, 1.2 km)
3 m
Level 3
Angela and Brian drove off together from Building A to Building B at average speeds of 85 km/h and 65 km/h respectively. How far apart would they be after 12 hours 15 minutes?
3 m