Daniel left City W for City V at 09 49. Irene left City W for City C at the same time. At 13 49, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 16 31.
- Find the distance between Cities A and C.
- If Irene was 45 the speed of Daniel, find Daniel's speed.
(a)
Time taken for Daniel and Irene to travel 09 49 to 13 49 = 4 h
Time taken for Daniel and Irene to travel 09 49 to 16 31 = 6 h 42 min = 6
4260 h = 6
710 h
Distance travelled by Daniel and Irene in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
710 x 180
= 1206 km
(b)
Irene's distance : Daniel's distance
4 : 5
Irene's speed : Daniel's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Daniel's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1206 km; (b) 100km/h