City R and City S are 374 km apart. At 6.12 p.m., Neave is travelling at a uniform speed left City R for City S while Liam set off from City S to City R along the same road at a uniform speed, which was 11 km/h slower than that of Neave. The two met at 8.12 p.m.
- Find the speed of Neave.
- 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 Neave and Liam to travel from 6.12 p.m. to 8.12 p.m. = 2 h
Average speed of Neave and Liam
= 374 ÷ 2
= 187 km/h
Neave's speed
= (187 + 11) ÷ 2
= 198 ÷ 2
= 99 km/h
(b)
Liam's speed
= 99 - 11
= 88 km/h
Distance that Liam travelled in 2 h
= 2 x 88
= 176 km
Remaining distance that Liam needed to travel
= 374 - 176
= 198 km
Time that Liam needed to reach his destination after the two met
= 198 ÷ 88
= 2
2288 = 2
14 h
Answer(s): (a) 99 km/h; (b) 2
14 h