City H and City J are 348 km apart. At 6.31 p.m., Simon is travelling at a uniform speed left City H for City J while Liam set off from City J to City H along the same road at a uniform speed, which was 6 km/h slower than that of Simon. The two met at 8.31 p.m.
- Find the speed of Simon.
- If Liam 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 Liam to travel from 6.31 p.m. to 8.31 p.m. = 2 h
Average speed of Simon and Liam
= 348 ÷ 2
= 174 km/h
Simon's speed
= (174 + 6) ÷ 2
= 180 ÷ 2
= 90 km/h
(b)
Liam's speed
= 90 - 6
= 84 km/h
Distance that Liam travelled in 2 h
= 2 x 84
= 168 km
Remaining distance that Liam needed to travel
= 348 - 168
= 180 km
Time that Liam needed to reach his destination after the two met
= 180 ÷ 84
= 2
1284 = 2
17 h
Answer(s): (a) 90 km/h; (b) 2
17 h