Lee left City D for City C at 09 43. Nicole left City D for City C at the same time. At 13 43, they were 672 km apart. Both maintained a constant speed and reached their destination at the same time at 16 28.
- Find the distance between Cities A and C.
- If Nicole was 34 the speed of Lee, find Lee's speed.
(a)
Time taken for Lee and Nicole to travel 09 43 to 13 43 = 4 h
Time taken for Lee and Nicole to travel 09 43 to 16 28 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Lee and Nicole in 1 hour
= 672 ÷ 4
= 168 km
Total distance
= 6
34 x 168
= 1134 km
(b)
Nicole's distance : Lee's distance
3 : 4
Nicole's speed : Lee's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Lee's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 1134 km; (b) 96km/h