Warren left City F for City E at 08 25. Fiona left City F for City C at the same time. At 12 25, they were 640 km apart. Both maintained a constant speed and reached their destination at the same time at 14 13.
- Find the distance between Cities A and C.
- If Fiona was 35 the speed of Warren, find Warren's speed.
(a)
Time taken for Warren and Fiona to travel 08 25 to 12 25 = 4 h
Time taken for Warren and Fiona to travel 08 25 to 14 13 = 5 h 48 min = 5
4860 h = 5
45 h
Distance travelled by Warren and Fiona in 1 hour
= 640 ÷ 4
= 160 km
Total distance
= 5
45 x 160
= 928 km
(b)
Fiona's distance : Warren's distance
3 : 5
Fiona's speed : Warren's speed
3 : 5
8 u = 160 km
1 u = 160 ÷ 8 = 20 km
Warren's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 928 km; (b) 100km/h