City K and City L are 600 km apart. At 3.52 p.m., Owen is travelling at a uniform speed left City K for City L while Warren set off from City L to City K along the same road at a uniform speed, which was 6 km/h slower than that of Owen. The two met at 8.52 p.m.
- Find the speed of Owen.
- If Warren 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 Warren to travel from 3.52 p.m. to 8.52 p.m. = 5 h
Average speed of Owen and Warren
= 600 ÷ 5
= 120 km/h
Owen's speed
= (120 + 6) ÷ 2
= 126 ÷ 2
= 63 km/h
(b)
Warren's speed
= 63 - 6
= 57 km/h
Distance that Warren travelled in 5 h
= 5 x 57
= 285 km
Remaining distance that Warren needed to travel
= 600 - 285
= 315 km
Time that Warren needed to reach his destination after the two met
= 315 ÷ 57
= 5
3057 = 5
1019 h
Answer(s): (a) 63 km/h; (b) 5
1019 h