City K and City L are 432 km apart. At 2.26 p.m., Michael is travelling at a uniform speed left City K for City L while Harry set off from City L to City K along the same road at a uniform speed, which was 12 km/h slower than that of Michael. The two met at 4.26 p.m.
- Find the speed of Michael.
- If Harry 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 Michael and Harry to travel from 2.26 p.m. to 4.26 p.m. = 2 h
Average speed of Michael and Harry
= 432 ÷ 2
= 216 km/h
Michael's speed
= (216 + 12) ÷ 2
= 228 ÷ 2
= 114 km/h
(b)
Harry's speed
= 114 - 12
= 102 km/h
Distance that Harry travelled in 2 h
= 2 x 102
= 204 km
Remaining distance that Harry needed to travel
= 432 - 204
= 228 km
Time that Harry needed to reach his destination after the two met
= 228 ÷ 102
= 2
24102 = 2
417 h
Answer(s): (a) 114 km/h; (b) 2
417 h