Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.

1. How far would Jomarie be behind Helen after 1 hour?
2. How long after they started would it take Helen to meet Jomarie for the first time?

Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?

Level 3 PSLE
At 15 25, Mrs Pang started driving at 60 km/h from her home to a supermarket 35 km away. She was in the supermarket for 1 h 15 min.

1. What time did she leave the supermarket?
2. After leaving the supermarket, Mrs Pang drove back along the same route and took 48 min to reach home. What was her average speed, in km/h, for the journey home?

Level 3
After cycling for 30 km, Mark took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.

Level 3
Willy drove from Town A to Town B which was 312 km away. He started from Town A at an average speed of 76 km/h. He maintained this speed for 2 h before increasing it by 4 km/h for the rest of the journey to Town B.

1. How long did he take to complete the whole journey?
2. What was his average speed from Town A to Town B?

Level 3
Uncle Lim travelled from City A to City B which was 560 km away. For the first 480 km of the journey, he travelled at a speed of 80 km/h. He then reduced his speed by 40 km/h and completed the rest of the journey. What was his average speed for the whole journey?

Level 3
At 9.45 a.m., Mark started driving from Town X to Town Y which was 440 km away. For the first 220 km, he travelled at an average speed of 80 km/h. He then decreased his speed by 20 km/h and completed the remaining journey.

1. Find the total time taken for the whole journey. Express the answer in mixed number.
2. At what time did she reach Town Y?

Level 3
A car was on its way from Town X to Town Y. After covering ²₅ of its journey, it passed a van which was travelling at an average speed of 70 km/h. 5 hours later, the car reached its destination, but the van was still 28 km from Town Y. If the car had also started from Town X, how long would it take to travel from Town X to Town Y? Express the answer in mixed number.

Level 3
At 10 30 , Aaron left Town A for Town B, driving at a speed of 75 km/h. At 11 30 , Tom also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 14 30, both of them passed a shopping mall that was 150 km away from Town B. How many minutes earlier did Tom reach Town B than Aaron?

Level 3
The average number of mangosteens in Carton C, Carton D and Carton E is 24 and it is 8 more than the average number of papayas in the 3 cartons. ¹₆ of the papayas are in Carton C and the papayas in Carton C is 80% of the number of papayas in Carton D. If each carton has the same number of fruits, what percentage of the fruits in Carton E are mangosteens?

Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.

1. How much more distance had Bella covered than Brent when they met on their way?
2. How far apart were Hotel A and Hotel B? Express the answer in mixed number.

Level 3
May started jogging from home to park at a speed of 300m/min at 6 a.m. Her brother started jogging from home later. They were beside each other at 6.30 a.m. and her brother reached park at 7 a.m. while May was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave home?

Level 3
The distance between town A and town B was 100 km. At 0700 Ali left town A and cycled towards town B. Grace left town A and cycled towards town B at 0730. Grace's cycling speed was 2 km/h faster than Ali. At 1100, Grace caught up with Ali. When Grace was 20 km from town B, she stopped to wait for Ali. How far was Ali from Grace when she stopped to wait for him?

Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.

1. Find the total distance covered by the two runners when they met each other. Express the answer in km.
2. Find the length of the trail in km.

Level 3
Singapore and Kuala Lumpur is 375 km apart. Rael left Singapore for Kuala Lumpur at 10.00 a.m. travelling at an average speed of 75 km/h. Sam left Singapore later than Rael and caught up with him at 12.00 p.m. Sam was travelling at a speed of 90 km/h.

1. At what time did Sam leave Singapore?
2. How much later did Rael arrive in Kuala Lumpur than Sam?

Level 3
At 8 a.m., Rina started from City A and travelled towards City B and his speed remained constant throughout. At 9 a.m., Mandy started her journey from City A towards City B at an average speed of 72 km/h. Mandy overtook Rina at 12 p.m. After overtaking, Mandy carried on her journey at the same average speed and reached at City B at 2:30 p.m.

1. Find Rina's average speed in km/h.
2. What is the distance between the two cities?

Level 3
After 20 minutes into a race, Daniel has run ⁵₈ of the route while Piolo has covered only ³₈ of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.

Level 3
Timothy took 15 min to jog from his home to his school. After that, he took 20 min to walk the same way home. His walking speed was 3 km/h slower than his jogging speed.

1. Find Timothy's jogging speed in km/h.
2. How far was the school from his home?

Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.

1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
2. Find the smallest possible second lowest mark among these 6 children.
3. Find the largest possible second lowest mark among these 6 children.