City N and City P are 556 km apart. At 2.36 p.m., Owen is travelling at a uniform speed left City N for City P while Liam set off from City P to City N along the same road at a uniform speed, which was 11 km/h slower than that of Owen. The two met at 6.36 p.m.
- Find the speed of Owen.
- 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 Owen and Liam to travel from 2.36 p.m. to 6.36 p.m. = 4 h
Average speed of Owen and Liam
= 556 ÷ 4
= 139 km/h
Owen's speed
= (139 + 11) ÷ 2
= 150 ÷ 2
= 75 km/h
(b)
Liam's speed
= 75 - 11
= 64 km/h
Distance that Liam travelled in 4 h
= 4 x 64
= 256 km
Remaining distance that Liam needed to travel
= 556 - 256
= 300 km
Time that Liam needed to reach his destination after the two met
= 300 ÷ 64
= 4
4464 = 4
1116 h
Answer(s): (a) 75 km/h; (b) 4
1116 h