Jack left City C for City B at 09 34. Raeann left City C for City C at the same time. At 11 34, they were 312 km apart. Both maintained a constant speed and reached their destination at the same time at 15 14.
- Find the distance between Cities A and C.
- If Raeann was 57 the speed of Jack, find Jack's speed.
(a)
Time taken for Jack and Raeann to travel 09 34 to 11 34 = 2 h
Time taken for Jack and Raeann to travel 09 34 to 15 14 = 5 h 40 min = 5
4060 h = 5
23 h
Distance travelled by Jack and Raeann in 1 hour
= 312 ÷ 2
= 156 km
Total distance
= 5
23 x 156
= 884 km
(b)
Raeann's distance : Jack's distance
5 : 7
Raeann's speed : Jack's speed
5 : 7
12 u = 156 km
1 u = 156 ÷ 12 = 13 km
Jack's speed
= 7 u
= 7 x 13
= 91 km/h
Answer(s): (a) 884 km; (b) 91km/h