Questions

From Best to Worst

11 P6.SP.TL.18012283

Level 3
Singapore and Kuala Lumpur is 375 km apart. Rael left Singapore for Kuala Lumpur at 10.00 a.m. travelling at an average speed of 75 km/h. Sam left Singapore later than Rael and caught up with him at 12.00 p.m. Sam was travelling at a speed of 90 km/h.

At what time did Sam leave Singapore?
How much later did Rael arrive in Kuala Lumpur than Sam?

4 m

Attempt

12 P6.SP.TL.18012284

Level 3
At 8 a.m., Rina started from City A and travelled towards City B and his speed remained constant throughout. At 9 a.m., Mandy started her journey from City A towards City B at an average speed of 72 km/h. Mandy overtook Rina at 12 p.m. After overtaking, Mandy carried on her journey at the same average speed and reached at City B at 2:30 p.m.

Find Rina's average speed in km/h.
What is the distance between the two cities?

4 m

Attempt

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

13 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

DST triangle Average speed Same starting point Different starting time Overtaking More than or less than

14 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.