City P and City Q are 357 km apart. At 4.34 p.m., Carl is travelling at a uniform speed left City P for City Q while Liam set off from City Q to City P along the same road at a uniform speed, which was 11 km/h slower than that of Carl. The two met at 7.34 p.m.
- Find the speed of Carl.
- 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 Carl and Liam to travel from 4.34 p.m. to 7.34 p.m. = 3 h
Average speed of Carl and Liam
= 357 ÷ 3
= 119 km/h
Carl's speed
= (119 + 11) ÷ 2
= 130 ÷ 2
= 65 km/h
(b)
Liam's speed
= 65 - 11
= 54 km/h
Distance that Liam travelled in 3 h
= 3 x 54
= 162 km
Remaining distance that Liam needed to travel
= 357 - 162
= 195 km
Time that Liam needed to reach his destination after the two met
= 195 ÷ 54
= 3
3354 = 3
1118 h
Answer(s): (a) 65 km/h; (b) 3
1118 h