Ivan left City N for City M at 07 47. Cindy left City N for City C at the same time. At 12 47, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 14 43.
- Find the distance between Cities A and C.
- If Cindy was 78 the speed of Ivan, find Ivan's speed.
(a)
Time taken for Ivan and Cindy to travel 07 47 to 12 47 = 5 h
Time taken for Ivan and Cindy to travel 07 47 to 14 43 = 6 h 56 min = 6
5660 h = 6
1415 h
Distance travelled by Ivan and Cindy in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
1415 x 180
= 1248 km
(b)
Cindy's distance : Ivan's distance
7 : 8
Cindy's speed : Ivan's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Ivan's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1248 km; (b) 96km/h