City B and City C are 330 km apart. At 4.34 p.m., Flynn is travelling at a uniform speed left City B for City C while Billy set off from City C to City B along the same road at a uniform speed, which was 9 km/h slower than that of Flynn. The two met at 6.34 p.m.
- Find the speed of Flynn.
- If Billy 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 Flynn and Billy to travel from 4.34 p.m. to 6.34 p.m. = 2 h
Average speed of Flynn and Billy
= 330 ÷ 2
= 165 km/h
Flynn's speed
= (165 + 9) ÷ 2
= 174 ÷ 2
= 87 km/h
(b)
Billy's speed
= 87 - 9
= 78 km/h
Distance that Billy travelled in 2 h
= 2 x 78
= 156 km
Remaining distance that Billy needed to travel
= 330 - 156
= 174 km
Time that Billy needed to reach his destination after the two met
= 174 ÷ 78
= 2
1878 = 2
313 h
Answer(s): (a) 87 km/h; (b) 2
313 h