City H and City J are 332 km apart. At 4.44 p.m., Ahmad is travelling at a uniform speed left City H for City J while Flynn set off from City J to City H along the same road at a uniform speed, which was 6 km/h slower than that of Ahmad. The two met at 6.44 p.m.
- Find the speed of Ahmad.
- If Flynn 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 Ahmad and Flynn to travel from 4.44 p.m. to 6.44 p.m. = 2 h
Average speed of Ahmad and Flynn
= 332 ÷ 2
= 166 km/h
Ahmad's speed
= (166 + 6) ÷ 2
= 172 ÷ 2
= 86 km/h
(b)
Flynn's speed
= 86 - 6
= 80 km/h
Distance that Flynn travelled in 2 h
= 2 x 80
= 160 km
Remaining distance that Flynn needed to travel
= 332 - 160
= 172 km
Time that Flynn needed to reach his destination after the two met
= 172 ÷ 80
= 2
1280 = 2
320 h
Answer(s): (a) 86 km/h; (b) 2
320 h