City T and City U are 378 km apart. At 1.49 p.m., Warren is travelling at a uniform speed left City T for City U while Liam set off from City U to City T along the same road at a uniform speed, which was 6 km/h slower than that of Warren. The two met at 4.49 p.m.
- Find the speed of Warren.
- 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 Warren and Liam to travel from 1.49 p.m. to 4.49 p.m. = 3 h
Average speed of Warren and Liam
= 378 ÷ 3
= 126 km/h
Warren's speed
= (126 + 6) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Liam's speed
= 66 - 6
= 60 km/h
Distance that Liam travelled in 3 h
= 3 x 60
= 180 km
Remaining distance that Liam needed to travel
= 378 - 180
= 198 km
Time that Liam 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