Dylan left City R for City Q at 05 39. Kathy left City R for City C at the same time. At 10 39, they were 800 km apart. Both maintained a constant speed and reached their destination at the same time at 12 27.
- Find the distance between Cities A and C.
- If Kathy was 79 the speed of Dylan, find Dylan's speed.
(a)
Time taken for Dylan and Kathy to travel 05 39 to 10 39 = 5 h
Time taken for Dylan and Kathy to travel 05 39 to 12 27 = 6 h 48 min = 6
4860 h = 6
45 h
Distance travelled by Dylan and Kathy in 1 hour
= 800 ÷ 5
= 160 km
Total distance
= 6
45 x 160
= 1088 km
(b)
Kathy's distance : Dylan's distance
7 : 9
Kathy's speed : Dylan's speed
7 : 9
16 u = 160 km
1 u = 160 ÷ 16 = 10 km
Dylan's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 1088 km; (b) 90km/h