City L and City M are 434 km apart. At 3.40 p.m., Glen is travelling at a uniform speed left City L for City M while George set off from City M to City L along the same road at a uniform speed, which was 7 km/h slower than that of Glen. The two met at 5.40 p.m.
- Find the speed of Glen.
- If George 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 Glen and George to travel from 3.40 p.m. to 5.40 p.m. = 2 h
Average speed of Glen and George
= 434 ÷ 2
= 217 km/h
Glen's speed
= (217 + 7) ÷ 2
= 224 ÷ 2
= 112 km/h
(b)
George's speed
= 112 - 7
= 105 km/h
Distance that George travelled in 2 h
= 2 x 105
= 210 km
Remaining distance that George needed to travel
= 434 - 210
= 224 km
Time that George needed to reach his destination after the two met
= 224 ÷ 105
= 2
14105 = 2
215 h
Answer(s): (a) 112 km/h; (b) 2
215 h