11 P6.SP.TL.18012254
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?
3 m
DST triangle Different speed Different starting point Same starting time Meeting point Common time
12 P6.SP.TL.18012239
Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
DST triangle Different speed Same starting point Same starting time Common time Unit conversion Duration Timeline
13 P6.SP.TL.18012264
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
3 m
DST triangle Average speed Same starting point Same starting time Direct ratio Common time Fraction to units More than or less than Units method
14 P6.SP.TL.18012263
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
DST triangle Average speed Different speed Same starting point Same starting time Direct ratio Common time Fraction to units More than or less than Units method
15 P6.SP.JC.17081504
Level 3
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
4 m
Rate more than 1 object Common time Volume Filling tank D Place values D Round off
16 P6.SP.JC.18011320
Level 3
It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.
4 m
Rate more than 1 object Common time Volume Duration Displacement D Place values D Round off
17 P6.SP.JC.17053182
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height Fraction of a whole
18 P6.SP.TL.18012275
Level 3
Edward cycled from the mall to the bank at 80 m/min. His sister cycled from the bank to the mall at 65 m/min. Both of them started cycling towards each other at the same time and did not change their speeds throughout their journey. When Edward reached the mall, his sister was 480 m from the bank. What was the distance between the mall and the bank? Express your answer in m.
4 m
DST triangle Average speed Different speed Different starting point Same starting time Common time
19 P6.SP.TL.18012279
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?
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Common time More than or less than
20 P6.SP.TL.18012282
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
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Direct ratio Common time Duration Units method

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