Ryan left City P for City N at 08 44. Emily left City P for City C at the same time. At 11 44, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 15 11.
- Find the distance between Cities A and C.
- If Emily was 35 the speed of Ryan, find Ryan's speed.
(a)
Time taken for Ryan and Emily to travel 08 44 to 11 44 = 3 h
Time taken for Ryan and Emily to travel 08 44 to 15 11 = 6 h 27 min = 6
2760 h = 6
920 h
Distance travelled by Ryan and Emily in 1 hour
= 480 ÷ 3
= 160 km
Total distance
= 6
920 x 160
= 1032 km
(b)
Emily's distance : Ryan's distance
3 : 5
Emily's speed : Ryan's speed
3 : 5
8 u = 160 km
1 u = 160 ÷ 8 = 20 km
Ryan's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1032 km; (b) 100km/h