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
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?
4 m
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.
4 m
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.
  1. How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
  2. How long would it take Shan to meet Ella for the first time?
  3. How many rounds would Shan have completed by then?
4 m
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.
  1. At what time did Melvin pass James on the road?
  2. 125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
5 m