City H and City J are 492 km apart. At 6.39 p.m., Neave is travelling at a uniform speed left City H for City J while Jeremy set off from City J to City H along the same road at a uniform speed, which was 9 km/h slower than that of Neave. The two met at 10.39 p.m.
- Find the speed of Neave.
- If Jeremy 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 Neave and Jeremy to travel from 6.39 p.m. to 10.39 p.m. = 4 h
Average speed of Neave and Jeremy
= 492 ÷ 4
= 123 km/h
Neave's speed
= (123 + 9) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Jeremy's speed
= 66 - 9
= 57 km/h
Distance that Jeremy travelled in 4 h
= 4 x 57
= 228 km
Remaining distance that Jeremy needed to travel
= 492 - 228
= 264 km
Time that Jeremy needed to reach his destination after the two met
= 264 ÷ 57
= 4
3657 = 4
1219 h
Answer(s): (a) 66 km/h; (b) 4
1219 h