City B and City C are 330 km apart. At 5.57 p.m., Jenson is travelling at a uniform speed left City B for City C while Jeremy set off from City C to City B along the same road at a uniform speed, which was 11 km/h slower than that of Jenson. The two met at 7.57 p.m.
- Find the speed of Jenson.
- If Jeremy continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express your answer in mixed number.
(a)
Time taken for Jenson and Jeremy to travel from 5.57 p.m. to 7.57 p.m. = 2 h
Average speed of Jenson and Jeremy
= 330 ÷ 2
= 165 km/h
Jenson's speed
= (165 + 11) ÷ 2
= 176 ÷ 2
= 88 km/h
(b)
Jeremy's speed
= 88 - 11
= 77 km/h
Distance that Jeremy travelled in 2 h
= 2 x 77
= 154 km
Remaining distance that Jeremy needed to travel
= 330 - 154
= 176 km
Time that Jeremy needed to reach his destination after the two met
= 176 ÷ 77
= 2
2277 = 2
27 h
Answer(s): (a) 88 km/h; (b) 2
27 h