Luis left City K for City J at 08 41. Emily left City K for City C at the same time. At 11 41, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 13 37.
- Find the distance between Cities A and C.
- If Emily was 57 the speed of Luis, find Luis's speed.
(a)
Time taken for Luis and Emily to travel 08 41 to 11 41 = 3 h
Time taken for Luis and Emily to travel 08 41 to 13 37 = 4 h 56 min = 4
5660 h = 4
1415 h
Distance travelled by Luis and Emily in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 4
1415 x 180
= 888 km
(b)
Emily's distance : Luis's distance
5 : 7
Emily's speed : Luis's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Luis's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 888 km; (b) 105km/h