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?
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
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
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.
Find the distance between Cities A and C.
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.
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.
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.
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.
Level 3 PSLE
Cindy had to sew 200 dresses. She sewed 8 dresses each day from Monday to Friday and 15 each day on Saturday and Sunday.
Starting on a Friday, on which day of the week did Cindy finish sewing all the dresses? Give your answer in number. (Eg Mon = 1)
Level 3
At first, Randy had 160 more red beads than blue beads in a box. Each day, he took out 8 red beads and 5 blue beads from the box. After some time, he only had 20 blue beads left in the box.
How many beads did Randy take out from the box altogether?
Level 3
Henry's freight forwarding company charges $17 for every mirror delivered on time and $10 for every mirror delivered late. In the month of August, Henry freight forwarding company collected $2200. For every 17 mirrors delivered, 15 were delivered on time and 2 were delivered late.
What was the total number of mirrors delivered on time?
How much less money did Henry freight forwarding company collect in August due to the late delivery of the mirrors?
