Michael left City J for City H at 08 37. Nora left City J for City C at the same time. At 13 37, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 15 12.
- Find the distance between Cities A and C.
- If Nora was 45 the speed of Michael, find Michael's speed.
(a)
Time taken for Michael and Nora to travel 08 37 to 13 37 = 5 h
Time taken for Michael and Nora to travel 08 37 to 15 12 = 6 h 35 min = 6
3560 h = 6
712 h
Distance travelled by Michael and Nora in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
712 x 180
= 1185 km
(b)
Nora's distance : Michael's distance
4 : 5
Nora's speed : Michael's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Michael's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1185 km; (b) 100km/h