City G and City H are 450 km apart. At 1.43 p.m., Fabian is travelling at a uniform speed left City G for City H while Jenson set off from City H to City G along the same road at a uniform speed, which was 9 km/h slower than that of Fabian. The two met at 3.43 p.m.
- Find the speed of Fabian.
- If Jenson 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 Fabian and Jenson to travel from 1.43 p.m. to 3.43 p.m. = 2 h
Average speed of Fabian and Jenson
= 450 ÷ 2
= 225 km/h
Fabian's speed
= (225 + 9) ÷ 2
= 234 ÷ 2
= 117 km/h
(b)
Jenson's speed
= 117 - 9
= 108 km/h
Distance that Jenson travelled in 2 h
= 2 x 108
= 216 km
Remaining distance that Jenson needed to travel
= 450 - 216
= 234 km
Time that Jenson needed to reach his destination after the two met
= 234 ÷ 108
= 2
18108 = 2
16 h
Answer(s): (a) 117 km/h; (b) 2
16 h