Carl left City R for City Q at 07 29. Kylie left City R for City C at the same time. At 11 29, they were 792 km apart. Both maintained a constant speed and reached their destination at the same time at 14 19.
- Find the distance between Cities A and C.
- If Kylie was 45 the speed of Carl, find Carl's speed.
(a)
Time taken for Carl and Kylie to travel 07 29 to 11 29 = 4 h
Time taken for Carl and Kylie to travel 07 29 to 14 19 = 6 h 50 min = 6
5060 h = 6
56 h
Distance travelled by Carl and Kylie in 1 hour
= 792 ÷ 4
= 198 km
Total distance
= 6
56 x 198
= 1353 km
(b)
Kylie's distance : Carl's distance
4 : 5
Kylie's speed : Carl's speed
4 : 5
9 u = 198 km
1 u = 198 ÷ 9 = 22 km
Carl's speed
= 5 u
= 5 x 22
= 110 km/h
Answer(s): (a) 1353 km; (b) 110km/h