City K and City L are 484 km apart. At 1.41 p.m., Will 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 11 km/h slower than that of Will. The two met at 5.41 p.m.
- Find the speed of Will.
- 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 Will and Harry to travel from 1.41 p.m. to 5.41 p.m. = 4 h
Average speed of Will and Harry
= 484 ÷ 4
= 121 km/h
Will's speed
= (121 + 11) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Harry's speed
= 66 - 11
= 55 km/h
Distance that Harry travelled in 4 h
= 4 x 55
= 220 km
Remaining distance that Harry needed to travel
= 484 - 220
= 264 km
Time that Harry needed to reach his destination after the two met
= 264 ÷ 55
= 4
4455 = 4
45 h
Answer(s): (a) 66 km/h; (b) 4
45 h