Will left City H for City G at 08 50. Yoko left City H for City C at the same time. At 13 50, they were 800 km apart. Both maintained a constant speed and reached their destination at the same time at 15 26.
- Find the distance between Cities A and C.
- If Yoko was 79 the speed of Will, find Will's speed.
(a)
Time taken for Will and Yoko to travel 08 50 to 13 50 = 5 h
Time taken for Will and Yoko to travel 08 50 to 15 26 = 6 h 36 min = 6
3660 h = 6
35 h
Distance travelled by Will and Yoko in 1 hour
= 800 ÷ 5
= 160 km
Total distance
= 6
35 x 160
= 1056 km
(b)
Yoko's distance : Will's distance
7 : 9
Yoko's speed : Will's speed
7 : 9
16 u = 160 km
1 u = 160 ÷ 16 = 10 km
Will's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 1056 km; (b) 90km/h