Luis left City R for City Q at 07 24. Rachel left City R for City C at the same time. At 10 24, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 15.
- Find the distance between Cities A and C.
- If Rachel was 45 the speed of Luis, find Luis's speed.
(a)
Time taken for Luis and Rachel to travel 07 24 to 10 24 = 3 h
Time taken for Luis and Rachel to travel 07 24 to 14 15 = 6 h 51 min = 6
5160 h = 6
1720 h
Distance travelled by Luis and Rachel in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
1720 x 180
= 1233 km
(b)
Rachel's distance : Luis's distance
4 : 5
Rachel's speed : Luis's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Luis's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1233 km; (b) 100km/h