Ryan left City K for City J at 06 43. Cathy left City K for City C at the same time. At 10 43, they were 672 km apart. Both maintained a constant speed and reached their destination at the same time at 12 28.
- Find the distance between Cities A and C.
- If Cathy was 34 the speed of Ryan, find Ryan's speed.
(a)
Time taken for Ryan and Cathy to travel 06 43 to 10 43 = 4 h
Time taken for Ryan and Cathy to travel 06 43 to 12 28 = 5 h 45 min = 5
4560 h = 5
34 h
Distance travelled by Ryan and Cathy in 1 hour
= 672 ÷ 4
= 168 km
Total distance
= 5
34 x 168
= 966 km
(b)
Cathy's distance : Ryan's distance
3 : 4
Cathy's speed : Ryan's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Ryan's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 966 km; (b) 96km/h