City J and City K are 558 km apart. At 5.27 p.m., George is travelling at a uniform speed left City J for City K while Paul set off from City K to City J along the same road at a uniform speed, which was 6 km/h slower than that of George. The two met at 8.27 p.m.
- Find the speed of George.
- If Paul 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 George and Paul to travel from 5.27 p.m. to 8.27 p.m. = 3 h
Average speed of George and Paul
= 558 ÷ 3
= 186 km/h
George's speed
= (186 + 6) ÷ 2
= 192 ÷ 2
= 96 km/h
(b)
Paul's speed
= 96 - 6
= 90 km/h
Distance that Paul travelled in 3 h
= 3 x 90
= 270 km
Remaining distance that Paul needed to travel
= 558 - 270
= 288 km
Time that Paul 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