Level 3
A pharmacy and a bank, 500 m apart, are situated between Tina's apartment and Lynn's house as shown. The bank is half-way between the two houses. Tina and Lynn left their homes at the same time and arrived at the pharmacy at the same time. Tina drove at a speed of 65 km/h while Lynn drove at a speed 10 km/h slower than Tina.

1. How much further did Tina travel than Lynn?
2. How far is Lynn's house from the bank?

Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 1¹₂ hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find

1. the average speed of the bus.
2. the time taken for them to meet. travelling the rest of the journey

Level 3
Kenny and Jerry started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the finishing point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.

1. At what time did the trip begin? Give the answer in 12-hour format.
2. What was Kenny's average speed for the remaining 40 km of the trip in km/h?

Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.

Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?

1. Andy
2. Luke

Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.

1. Find the distance between Cities A and C.
2. If Lindy's speed was ³₅ the speed of Fred, find Ray's speed.

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.

1. Find the speed of Joni.
2. 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.

Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed ³₈ of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?

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.

1. How many rounds did Zane complete in 1 h?
2. 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.