Level 3
Singapore and Kuala Lumpur is 375 km apart. Rael left Singapore for Kuala Lumpur at 10.00 a.m. travelling at an average speed of 75 km/h. Sam left Singapore later than Rael and caught up with him at 12.00 p.m. Sam was travelling at a speed of 90 km/h.
  1. At what time did Sam leave Singapore?
  2. How much later did Rael arrive in Kuala Lumpur than Sam?
4 m
Level 3
At 8 a.m., Rina started from City A and travelled towards City B and his speed remained constant throughout. At 9 a.m., Mandy started her journey from City A towards City B at an average speed of 72 km/h. Mandy overtook Rina at 12 p.m. After overtaking, Mandy carried on her journey at the same average speed and reached at City B at 2:30 p.m.
  1. Find Rina's average speed in km/h.
  2. What is the distance between the two cities?
4 m
Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
4 m
Level 3
Timothy took 15 min to jog from his home to his school. After that, he took 20 min to walk the same way home. His walking speed was 3 km/h slower than his jogging speed.
  1. Find Timothy's jogging speed in km/h.
  2. How far was the school from his home?
4 m
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m