City W and City X are 378 km apart. At 6.55 p.m., Simon is travelling at a uniform speed left City W for City X while Harry set off from City X to City W along the same road at a uniform speed, which was 6 km/h slower than that of Simon. The two met at 9.55 p.m.
- Find the speed of Simon.
- 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 Simon and Harry to travel from 6.55 p.m. to 9.55 p.m. = 3 h
Average speed of Simon and Harry
= 378 ÷ 3
= 126 km/h
Simon's speed
= (126 + 6) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Harry's speed
= 66 - 6
= 60 km/h
Distance that Harry travelled in 3 h
= 3 x 60
= 180 km
Remaining distance that Harry needed to travel
= 378 - 180
= 198 km
Time that Harry needed to reach his destination after the two met
= 198 ÷ 60
= 3
1860 = 3
310 h
Answer(s): (a) 66 km/h; (b) 3
310 h