Ian left City F for City E at 09 20. Abi left City F for City C at the same time. At 14 20, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 16 11.
- Find the distance between Cities A and C.
- If Abi was 45 the speed of Ian, find Ian's speed.
(a)
Time taken for Ian and Abi to travel 09 20 to 14 20 = 5 h
Time taken for Ian and Abi to travel 09 20 to 16 11 = 6 h 51 min = 6
5160 h = 6
1720 h
Distance travelled by Ian and Abi in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
1720 x 180
= 1233 km
(b)
Abi's distance : Ian's distance
4 : 5
Abi's speed : Ian's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Ian's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1233 km; (b) 100km/h