Questions

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126 P6.SP.TL.18012298

Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to ¹₃ of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.

5 m

Attempt

127 P6.SP.TL.18012291

Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?

Andy
Luke

5 m

Attempt

DST triangle Average speed Journey by parts Different speed Same starting time Unit conversion Start end time Fraction of a whole

128 P6.FR.TL.16010133

Level 3
The average number of boys in 1A, 1B and 1C is 18. This is 4 more than the average number of girls in the 3 rooms. ²₇ of the total number of girls are in 1C. ³₂ of the number of girls in 1B is the same as ³₇ of the total number of girls in the 3 rooms. What fraction of the total number of boys in the 3 rooms is in 1A if there are 40 pupils in 1A?

5 m

Video Attempt

Fraction to units Average Common numerator Units table

129 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

130 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.