Dylan left City H for City G at 09 33. Eva left City H for City C at the same time. At 12 33, they were 495 km apart. Both maintained a constant speed and reached their destination at the same time at 15 29.
- Find the distance between Cities A and C.
- If Eva was 78 the speed of Dylan, find Dylan's speed.
(a)
Time taken for Dylan and Eva to travel 09 33 to 12 33 = 3 h
Time taken for Dylan and Eva to travel 09 33 to 15 29 = 5 h 56 min = 5
5660 h = 5
1415 h
Distance travelled by Dylan and Eva in 1 hour
= 495 ÷ 3
= 165 km
Total distance
= 5
1415 x 165
= 979 km
(b)
Eva's distance : Dylan's distance
7 : 8
Eva's speed : Dylan's speed
7 : 8
15 u = 165 km
1 u = 165 ÷ 15 = 11 km
Dylan's speed
= 8 u
= 8 x 11
= 88 km/h
Answer(s): (a) 979 km; (b) 88km/h