Ian left City G for City F at 07 37. Barbara left City G for City C at the same time. At 10 37, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 29.
- Find the distance between Cities A and C.
- If Barbara was 45 the speed of Ian, find Ian's speed.
(a)
Time taken for Ian and Barbara to travel 07 37 to 10 37 = 3 h
Time taken for Ian and Barbara to travel 07 37 to 14 29 = 6 h 52 min = 6
5260 h = 6
1315 h
Distance travelled by Ian and Barbara in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
1315 x 180
= 1236 km
(b)
Barbara's distance : Ian's distance
4 : 5
Barbara'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) 1236 km; (b) 100km/h