City J and City K are 300 km apart. At 6.49 p.m., Henry is travelling at a uniform speed left City J for City K while Peter 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 Henry. The two met at 8.49 p.m.
- Find the speed of Henry.
- If Peter 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 Henry and Peter to travel from 6.49 p.m. to 8.49 p.m. = 2 h
Average speed of Henry and Peter
= 300 ÷ 2
= 150 km/h
Henry's speed
= (150 + 6) ÷ 2
= 156 ÷ 2
= 78 km/h
(b)
Peter's speed
= 78 - 6
= 72 km/h
Distance that Peter travelled in 2 h
= 2 x 72
= 144 km
Remaining distance that Peter needed to travel
= 300 - 144
= 156 km
Time that Peter needed to reach his destination after the two met
= 156 ÷ 72
= 2
1272 = 2
16 h
Answer(s): (a) 78 km/h; (b) 2
16 h