Ahmad left City N for City M at 06 40. Joelle left City N for City C at the same time. At 11 40, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 13 26.
- Find the distance between Cities A and C.
- If Joelle was 57 the speed of Ahmad, find Ahmad's speed.
(a)
Time taken for Ahmad and Joelle to travel 06 40 to 11 40 = 5 h
Time taken for Ahmad and Joelle to travel 06 40 to 13 26 = 6 h 46 min = 6
4660 h = 6
2330 h
Distance travelled by Ahmad and Joelle in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
2330 x 180
= 1218 km
(b)
Joelle's distance : Ahmad's distance
5 : 7
Joelle's speed : Ahmad's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Ahmad's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1218 km; (b) 105km/h