City T and City U are 366 km apart. At 3.48 p.m., Archie is travelling at a uniform speed left City T for City U while Glen set off from City U to City T along the same road at a uniform speed, which was 8 km/h slower than that of Archie. The two met at 6.48 p.m.
- Find the speed of Archie.
- 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 Archie and Glen to travel from 3.48 p.m. to 6.48 p.m. = 3 h
Average speed of Archie and Glen
= 366 ÷ 3
= 122 km/h
Archie's speed
= (122 + 8) ÷ 2
= 130 ÷ 2
= 65 km/h
(b)
Glen's speed
= 65 - 8
= 57 km/h
Distance that Glen travelled in 3 h
= 3 x 57
= 171 km
Remaining distance that Glen needed to travel
= 366 - 171
= 195 km
Time that Glen needed to reach his destination after the two met
= 195 ÷ 57
= 3
2457 = 3
819 h
Answer(s): (a) 65 km/h; (b) 3
819 h