111 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
112 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
113 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
114 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
115 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
116 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
117 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
118 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
119 P6.SP.JC.17081501
Level 3
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Volume of cube Filling tank D Place values D Round off
120 P6.SP.JC.17053187
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
  1. Find the time taken for the heights of the water level to be the same in both tanks.
  2. Find the height of the water level at that point of time.
5 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height

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