City M and City N are 332 km apart. At 1.27 p.m., Ahmad is travelling at a uniform speed left City M for City N while Liam set off from City N to City M along the same road at a uniform speed, which was 6 km/h slower than that of Ahmad. The two met at 3.27 p.m.
- Find the speed of Ahmad.
- If Liam 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 Liam to travel from 1.27 p.m. to 3.27 p.m. = 2 h
Average speed of Ahmad and Liam
= 332 ÷ 2
= 166 km/h
Ahmad's speed
= (166 + 6) ÷ 2
= 172 ÷ 2
= 86 km/h
(b)
Liam's speed
= 86 - 6
= 80 km/h
Distance that Liam travelled in 2 h
= 2 x 80
= 160 km
Remaining distance that Liam needed to travel
= 332 - 160
= 172 km
Time that Liam 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