City U and City V are 558 km apart. At 5.43 p.m., Warren is travelling at a uniform speed left City U for City V while Tom set off from City V to City U along the same road at a uniform speed, which was 6 km/h slower than that of Warren. The two met at 8.43 p.m.
- Find the speed of Warren.
- If Tom 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 Tom to travel from 5.43 p.m. to 8.43 p.m. = 3 h
Average speed of Warren and Tom
= 558 ÷ 3
= 186 km/h
Warren's speed
= (186 + 6) ÷ 2
= 192 ÷ 2
= 96 km/h
(b)
Tom's speed
= 96 - 6
= 90 km/h
Distance that Tom travelled in 3 h
= 3 x 90
= 270 km
Remaining distance that Tom needed to travel
= 558 - 270
= 288 km
Time that Tom needed to reach his destination after the two met
= 288 ÷ 90
= 3
1890 = 3
15 h
Answer(s): (a) 96 km/h; (b) 3
15 h