Question:

Level 3 PSLE

Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?

Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?

3 m

Level 3

At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.

3 m
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.

- Find the speed of the black car.
- Find the speed of the green car.
- If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?

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

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.

3 m
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.

- How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
- How far would Bus X be behind Bus Y after
^{1}_{2}hour?

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?

Level 3

Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.

4 m
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.

- How long would it take for Benny to overtake Andy for the first time?
- How far was Benny ahead of Andy after 10 s?

Level 3

Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.

4 m
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.

- How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
- How long would it take Shan to meet Ella for the first time?
- How many rounds would Shan have completed by then?

Level 3

Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.

5 m
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.

- How many rounds did Zane complete in 1 h?
- When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.