Glen left City N for City M at 09 36. Kylie left City N for City C at the same time. At 11 36, they were 312 km apart. Both maintained a constant speed and reached their destination at the same time at 14 26.
- Find the distance between Cities A and C.
- If Kylie was 67 the speed of Glen, find Glen's speed.
(a)
Time taken for Glen and Kylie to travel 09 36 to 11 36 = 2 h
Time taken for Glen and Kylie to travel 09 36 to 14 26 = 4 h 50 min = 4
5060 h = 4
56 h
Distance travelled by Glen and Kylie in 1 hour
= 312 ÷ 2
= 156 km
Total distance
= 4
56 x 156
= 754 km
(b)
Kylie's distance : Glen's distance
6 : 7
Kylie's speed : Glen's speed
6 : 7
13 u = 156 km
1 u = 156 ÷ 13 = 12 km
Glen's speed
= 7 u
= 7 x 12
= 84 km/h
Answer(s): (a) 754 km; (b) 84km/h