City E and City F are 340 km apart. At 3.37 p.m., Fabian is travelling at a uniform speed left City E for City F while Glen set off from City F to City E along the same road at a uniform speed, which was 10 km/h slower than that of Fabian. The two met at 5.37 p.m.
- Find the speed of Fabian.
- If Glen 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 Glen to travel from 3.37 p.m. to 5.37 p.m. = 2 h
Average speed of Fabian and Glen
= 340 ÷ 2
= 170 km/h
Fabian's speed
= (170 + 10) ÷ 2
= 180 ÷ 2
= 90 km/h
(b)
Glen's speed
= 90 - 10
= 80 km/h
Distance that Glen travelled in 2 h
= 2 x 80
= 160 km
Remaining distance that Glen needed to travel
= 340 - 160
= 180 km
Time that Glen needed to reach his destination after the two met
= 180 ÷ 80
= 2
2080 = 2
14 h
Answer(s): (a) 90 km/h; (b) 2
14 h