Vaidev left City R for City Q at 09 47. Linda left City R for City C at the same time. At 12 47, they were 528 km apart. Both maintained a constant speed and reached their destination at the same time at 16 32.
- Find the distance between Cities A and C.
- If Linda was 47 the speed of Vaidev, find Vaidev's speed.
(a)
Time taken for Vaidev and Linda to travel 09 47 to 12 47 = 3 h
Time taken for Vaidev and Linda to travel 09 47 to 16 32 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Vaidev and Linda in 1 hour
= 528 ÷ 3
= 176 km
Total distance
= 6
34 x 176
= 1188 km
(b)
Linda's distance : Vaidev's distance
4 : 7
Linda's speed : Vaidev's speed
4 : 7
11 u = 176 km
1 u = 176 ÷ 11 = 16 km
Vaidev's speed
= 7 u
= 7 x 16
= 112 km/h
Answer(s): (a) 1188 km; (b) 112km/h