Vaidev left City G for City F at 05 49. Jane left City G for City C at the same time. At 10 49, they were 800 km apart. Both maintained a constant speed and reached their destination at the same time at 12 31.
- Find the distance between Cities A and C.
- If Jane was 79 the speed of Vaidev, find Vaidev's speed.
(a)
Time taken for Vaidev and Jane to travel 05 49 to 10 49 = 5 h
Time taken for Vaidev and Jane to travel 05 49 to 12 31 = 6 h 42 min = 6
4260 h = 6
710 h
Distance travelled by Vaidev and Jane in 1 hour
= 800 ÷ 5
= 160 km
Total distance
= 6
710 x 160
= 1072 km
(b)
Jane's distance : Vaidev's distance
7 : 9
Jane's speed : Vaidev's speed
7 : 9
16 u = 160 km
1 u = 160 ÷ 16 = 10 km
Vaidev's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 1072 km; (b) 90km/h