City H and City J are 350 km apart. At 1.24 p.m., Glen is travelling at a uniform speed left City H for City J while Harry set off from City J to City H along the same road at a uniform speed, which was 5 km/h slower than that of Glen. The two met at 3.24 p.m.
- Find the speed of Glen.
- 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 Glen and Harry to travel from 1.24 p.m. to 3.24 p.m. = 2 h
Average speed of Glen and Harry
= 350 ÷ 2
= 175 km/h
Glen's speed
= (175 + 5) ÷ 2
= 180 ÷ 2
= 90 km/h
(b)
Harry's speed
= 90 - 5
= 85 km/h
Distance that Harry travelled in 2 h
= 2 x 85
= 170 km
Remaining distance that Harry needed to travel
= 350 - 170
= 180 km
Time that Harry needed to reach his destination after the two met
= 180 ÷ 85
= 2
1085 = 2
217 h
Answer(s): (a) 90 km/h; (b) 2
217 h