Ian left City G for City F at 09 25. Erika left City G for City C at the same time. At 12 25, they were 624 km apart. Both maintained a constant speed and reached their destination at the same time at 15 10.
- Find the distance between Cities A and C.
- If Erika was 79 the speed of Ian, find Ian's speed.
(a)
Time taken for Ian and Erika to travel 09 25 to 12 25 = 3 h
Time taken for Ian and Erika to travel 09 25 to 15 10 = 5 h 45 min = 5
4560 h = 5
34 h
Distance travelled by Ian and Erika in 1 hour
= 624 ÷ 3
= 208 km
Total distance
= 5
34 x 208
= 1196 km
(b)
Erika's distance : Ian's distance
7 : 9
Erika's speed : Ian's speed
7 : 9
16 u = 208 km
1 u = 208 ÷ 16 = 13 km
Ian's speed
= 9 u
= 9 x 13
= 117 km/h
Answer(s): (a) 1196 km; (b) 117km/h