Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
2. How far would Bus X be behind Bus Y after 12 hour?
3 m
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?
3 m
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?
4 m
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.
4 m
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?
4 m
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?
4 m
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?
4 m
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.
4 m
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?
4 m
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.
4 m