City A and City B are 320 km apart. At 6.59 p.m., Asher is travelling at a uniform speed left City A for City B while Zane set off from City B to City A along the same road at a uniform speed, which was 8 km/h slower than that of Asher. The two met at 8.59 p.m.
- Find the speed of Asher.
- If Zane 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 Asher and Zane to travel from 6.59 p.m. to 8.59 p.m. = 2 h
Average speed of Asher and Zane
= 320 ÷ 2
= 160 km/h
Asher's speed
= (160 + 8) ÷ 2
= 168 ÷ 2
= 84 km/h
(b)
Zane's speed
= 84 - 8
= 76 km/h
Distance that Zane travelled in 2 h
= 2 x 76
= 152 km
Remaining distance that Zane needed to travel
= 320 - 152
= 168 km
Time that Zane needed to reach his destination after the two met
= 168 ÷ 76
= 2
1676 = 2
419 h
Answer(s): (a) 84 km/h; (b) 2
419 h