Zane left City X for City W at 08 45. Gwen left City X for City C at the same time. At 10 45, they were 336 km apart. Both maintained a constant speed and reached their destination at the same time at 13 40.
- Find the distance between Cities A and C.
- If Gwen was 34 the speed of Zane, find Zane's speed.
(a)
Time taken for Zane and Gwen to travel 08 45 to 10 45 = 2 h
Time taken for Zane and Gwen to travel 08 45 to 13 40 = 4 h 55 min = 4
5560 h = 4
1112 h
Distance travelled by Zane and Gwen in 1 hour
= 336 ÷ 2
= 168 km
Total distance
= 4
1112 x 168
= 826 km
(b)
Gwen's distance : Zane's distance
3 : 4
Gwen's speed : Zane's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Zane's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 826 km; (b) 96km/h