Andy left City E for City D at 05 32. Joelle left City E for City C at the same time. At 10 32, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 12 12.
- Find the distance between Cities A and C.
- If Joelle was 57 the speed of Andy, find Andy's speed.
(a)
Time taken for Andy and Joelle to travel 05 32 to 10 32 = 5 h
Time taken for Andy and Joelle to travel 05 32 to 12 12 = 6 h 40 min = 6
4060 h = 6
23 h
Distance travelled by Andy and Joelle in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
23 x 180
= 1200 km
(b)
Joelle's distance : Andy's distance
5 : 7
Joelle's speed : Andy's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Andy's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1200 km; (b) 105km/h