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.
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?
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.
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.
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
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.
How much more distance had Bella covered than Brent when they met on their way?
How far apart were Hotel A and Hotel B? Express the answer in mixed number.
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.
Find the total distance covered by the two runners when they met each other. Express the answer in km.
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.
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
James started driving from Town A towards Town B at 13 40 at an average speed of 70 km/h. Melvin began driving from Town A towards Town B at 15 10 at an average speed of 100 km/h.
At what time did Melvin pass James on the road?
125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
Find the speed of Joni.
If Ben continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express the answer in mixed number.
