46 P6.SP.TL.18012268
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
DST triangle Average speed Same starting point Circular track Unit conversion Duration LCM
47 P6.SP.JC.18011321
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
4 m
Rate more than 1 object Duration Volume F Simplest form Mixed numbers More than or less than
48 P6.SP.TL.18012270
Level 3
After cycling for 30 km, Mark took a break before he continued cycling 13 of the remaining distance. He then realised that he still had 14 of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.
4 m
DST triangle Average speed Duration Fraction of a whole Common numerator Units method
49 P6.SP.TL.18012273
Level 3
At 9.45 a.m., Mark started driving from Town X to Town Y which was 440 km away. For the first 220 km, he travelled at an average speed of 80 km/h. He then decreased his speed by 20 km/h and completed the remaining journey.
  1. Find the total time taken for the whole journey. Express the answer in mixed number.
  2. At what time did she reach Town Y?
4 m
DST triangle Average speed Journey by parts Different speed Duration Start end time More than or less than
50 P6.SP.TL.18012274
Level 3
A car was on its way from Town X to Town Y. After covering 25 of its journey, it passed a van which was travelling at an average speed of 70 km/h. 5 hours later, the car reached its destination, but the van was still 28 km from Town Y. If the car had also started from Town X, how long would it take to travel from Town X to Town Y? Express the answer in mixed number.
4 m
DST triangle Average speed Different speed Same starting point Duration Fraction of a whole

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