Questions

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41 P6.SP.TL.18012293

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.

Ali
Grace

5 m

Attempt

42 P6.SP.TL.18012294

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?

5 m

Attempt

DST triangle Average speed Different speed Same starting point Different starting time Meeting point Overtaking Start end time

43 P6.SP.TL.18012296

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?

5 m

Attempt

DST triangle Average speed Same starting point Same starting time Direct ratio Common time Duration Fraction of a whole More than or less than

44 P6.SP.TL.18012297

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.

5 m

Video Attempt