Daniel left City Q for City P at 09 48. Anna left City Q for City C at the same time. At 14 48, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 16 44.
- Find the distance between Cities A and C.
- If Anna was 45 the speed of Daniel, find Daniel's speed.
(a)
Time taken for Daniel and Anna to travel 09 48 to 14 48 = 5 h
Time taken for Daniel and Anna to travel 09 48 to 16 44 = 6 h 56 min = 6
5660 h = 6
1415 h
Distance travelled by Daniel and Anna in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
1415 x 180
= 1248 km
(b)
Anna's distance : Daniel's distance
4 : 5
Anna'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) 1248 km; (b) 100km/h