Ryan left City G for City F at 08 27. Sarah left City G for City C at the same time. At 11 27, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 15 21.
- Find the distance between Cities A and C.
- If Sarah was 45 the speed of Ryan, find Ryan's speed.
(a)
Time taken for Ryan and Sarah to travel 08 27 to 11 27 = 3 h
Time taken for Ryan and Sarah to travel 08 27 to 15 21 = 6 h 54 min = 6
5460 h = 6
910 h
Distance travelled by Ryan and Sarah in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
910 x 180
= 1242 km
(b)
Sarah's distance : Ryan's distance
4 : 5
Sarah's speed : Ryan's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Ryan's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1242 km; (b) 100km/h