Question:

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?

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

Mrs Tan left home at 9 a.m. and drove towards the city. 1^{1}_{3} hour later, Mrs Tan left the house and drove at an average speed of 100 km/h towards the city. When Mrs Tan reached his destination at 1 p.m., Mrs Tan was 20 km away from the city. Find Mrs Tan's average speed in km/h. Express the answer in mixed number.

3 m
Mrs Tan left home at 9 a.m. and drove towards the city. 1

Level 3

At 6 a.m., Prince and John left Park A and drove towards Park B at an average speeds of 105 km/h and 60 km/h respectively. Upon reaching Park B, Prince rested for 2 hours. He then headed back for Park A at an average speed of 105 km/h along the same route. Prince and John met each other on their way at 12 noon.

3 m
At 6 a.m., Prince and John left Park A and drove towards Park B at an average speeds of 105 km/h and 60 km/h respectively. Upon reaching Park B, Prince rested for 2 hours. He then headed back for Park A at an average speed of 105 km/h along the same route. Prince and John met each other on their way at 12 noon.

- How far had Prince covered when he met John on the way?
- How far apart were the two parks?

Level 3

King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?

3 m
King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?

Level 3

Town A and Town B were 420 km apart. At 11.55 a.m., Parry set off from Town A travelling at 80 km/h towards Town B, while Jan set off from Town B travelling towards Town A. They met on their way at 2.55 p.m. Find Jan's average speed.

3 m
Town A and Town B were 420 km apart. At 11.55 a.m., Parry set off from Town A travelling at 80 km/h towards Town B, while Jan set off from Town B travelling towards Town A. They met on their way at 2.55 p.m. Find Jan's average speed.

Level 3

City A and City B is 760 km apart. At 09 00, Sunny, travelling at a constant speed, left City A for City B. At the same time, Ron set off from City B for City A at a constant speed which was 9 km/h faster than Sunny. Find Ron's speed if they met at 17 00.

3 m
City A and City B is 760 km apart. At 09 00, Sunny, travelling at a constant speed, left City A for City B. At the same time, Ron set off from City B for City A at a constant speed which was 9 km/h faster than Sunny. Find Ron's speed if they met at 17 00.

Level 3

Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.

3 m
Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.

- At what speed were the two cyclists approaching each other?
- Find the distance between Sand Garden and View Hill Park in km.

Level 3

A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?

3 m
A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?

Level 3

Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.

3 m
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.

- Find the distance covered per second by Vivian in m.
- Find the distance covered per second by Kyle in m.
- When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.

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.

3 m
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.

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