City U and City V are 450 km apart. At 5.55 p.m., Fabian is travelling at a uniform speed left City U for City V while George set off from City V to City U along the same road at a uniform speed, which was 6 km/h slower than that of Fabian. The two met at 8.55 p.m.
- Find the speed of Fabian.
- If George 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 George to travel from 5.55 p.m. to 8.55 p.m. = 3 h
Average speed of Fabian and George
= 450 ÷ 3
= 150 km/h
Fabian's speed
= (150 + 6) ÷ 2
= 156 ÷ 2
= 78 km/h
(b)
George's speed
= 78 - 6
= 72 km/h
Distance that George travelled in 3 h
= 3 x 72
= 216 km
Remaining distance that George needed to travel
= 450 - 216
= 234 km
Time that George needed to reach his destination after the two met
= 234 ÷ 72
= 3
1872 = 3
14 h
Answer(s): (a) 78 km/h; (b) 3
14 h