City H and City J are 432 km apart. At 5.39 p.m., George 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 12 km/h slower than that of George. The two met at 7.39 p.m.
- Find the speed of George.
- 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 George and Jeremy to travel from 5.39 p.m. to 7.39 p.m. = 2 h
Average speed of George and Jeremy
= 432 ÷ 2
= 216 km/h
George's speed
= (216 + 12) ÷ 2
= 228 ÷ 2
= 114 km/h
(b)
Jeremy's speed
= 114 - 12
= 102 km/h
Distance that Jeremy travelled in 2 h
= 2 x 102
= 204 km
Remaining distance that Jeremy needed to travel
= 432 - 204
= 228 km
Time that Jeremy needed to reach his destination after the two met
= 228 ÷ 102
= 2
24102 = 2
417 h
Answer(s): (a) 114 km/h; (b) 2
417 h