181 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
182 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
183 P6.SP.JC.19090801
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?
4 m
DST triangle Average speed Journey by parts Different speed Same starting point Same starting time Common time
184 P6.SP.TL.18012288
Level 3
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.
  1. How long would it take for Benny to overtake Andy for the first time?
  2. How far was Benny ahead of Andy after 10 s?
4 m
DST triangle Same starting point Distance apart Overtaking Circular track Duration LCM
185 P6.SP.TL.18012289
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
DST triangle Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
186 P6.SP.JC.17053053
Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
5 m
Rate 1 object Unit conversion Volume Volume of cuboid Height of cuboid Filling tank Volume common base area Volume common height
187 P6.SP.JC.17081502
Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.
  1. What is the capacity of each pail?
  2. How long did it take to drain the water from the container completely? Answer in terms of minutes.
5 m
Rate 1 object Unit conversion Volume Volume of cuboid Height of cuboid Filling tank Volume transfer Percent of a whole Units method
188 P6.SP.JC.21061119
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m
Rate more than 1 object Duration am pm Volume of cuboid Filling tank Units method Fraction of a whole
189 P6.SP.TL.18012290
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.
5 m
Rate more than 1 object Same starting time Duration D Place values D Round off Percent of a set
190 P6.SP.JC.17053052
Level 3
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes 13 hour for all the water to flow out. If both taps are turned on at the same time,
  1. How long does it take to fill 40% of the tank?
  2. How much water has flowed out through Tap B by the time the tank is 35 filled with water?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Filling tank Fraction of a whole Percent of a whole Units method

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