Julian left City Q for City P at 09 32. Dana left City Q for City C at the same time. At 14 32, they were 780 km apart. Both maintained a constant speed and reached their destination at the same time at 16 17.
- Find the distance between Cities A and C.
- If Dana was 57 the speed of Julian, find Julian's speed.
(a)
Time taken for Julian and Dana to travel 09 32 to 14 32 = 5 h
Time taken for Julian and Dana to travel 09 32 to 16 17 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Julian and Dana in 1 hour
= 780 ÷ 5
= 156 km
Total distance
= 6
34 x 156
= 1053 km
(b)
Dana's distance : Julian's distance
5 : 7
Dana's speed : Julian's speed
5 : 7
12 u = 156 km
1 u = 156 ÷ 12 = 13 km
Julian's speed
= 7 u
= 7 x 13
= 91 km/h
Answer(s): (a) 1053 km; (b) 91km/h