City E and City F are 504 km apart. At 1.11 p.m., Jeremy is travelling at a uniform speed left City E for City F while Glen set off from City F to City E along the same road at a uniform speed, which was 6 km/h slower than that of Jeremy. The two met at 5.11 p.m.
- Find the speed of Jeremy.
- If Glen 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 Jeremy and Glen to travel from 1.11 p.m. to 5.11 p.m. = 4 h
Average speed of Jeremy and Glen
= 504 ÷ 4
= 126 km/h
Jeremy's speed
= (126 + 6) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Glen's speed
= 66 - 6
= 60 km/h
Distance that Glen travelled in 4 h
= 4 x 60
= 240 km
Remaining distance that Glen needed to travel
= 504 - 240
= 264 km
Time that Glen needed to reach his destination after the two met
= 264 ÷ 60
= 4
2460 = 4
25 h
Answer(s): (a) 66 km/h; (b) 4
25 h