City L and City M are 304 km apart. At 2.42 p.m., Jenson is travelling at a uniform speed left City L for City M while Vincent set off from City M to City L along the same road at a uniform speed, which was 8 km/h slower than that of Jenson. The two met at 4.42 p.m.
- Find the speed of Jenson.
- If Vincent 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 Vincent to travel from 2.42 p.m. to 4.42 p.m. = 2 h
Average speed of Jenson and Vincent
= 304 ÷ 2
= 152 km/h
Jenson's speed
= (152 + 8) ÷ 2
= 160 ÷ 2
= 80 km/h
(b)
Vincent's speed
= 80 - 8
= 72 km/h
Distance that Vincent travelled in 2 h
= 2 x 72
= 144 km
Remaining distance that Vincent needed to travel
= 304 - 144
= 160 km
Time that Vincent needed to reach his destination after the two met
= 160 ÷ 72
= 2
1672 = 2
29 h
Answer(s): (a) 80 km/h; (b) 2
29 h