Dylan left City N for City M at 09 25. Jean left City N for City C at the same time. At 12 25, they were 540 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 Jean was 57 the speed of Dylan, find Dylan's speed.
(a)
Time taken for Dylan and Jean to travel 09 25 to 12 25 = 3 h
Time taken for Dylan and Jean to travel 09 25 to 15 10 = 5 h 45 min = 5
4560 h = 5
34 h
Distance travelled by Dylan and Jean in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 5
34 x 180
= 1035 km
(b)
Jean's distance : Dylan's distance
5 : 7
Jean's speed : Dylan's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Dylan's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1035 km; (b) 105km/h