Tim left City X for City W at 06 28. Zoe left City X for City C at the same time. At 10 28, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 13 23.
- Find the distance between Cities A and C.
- If Zoe was 45 the speed of Tim, find Tim's speed.
(a)
Time taken for Tim and Zoe to travel 06 28 to 10 28 = 4 h
Time taken for Tim and Zoe to travel 06 28 to 13 23 = 6 h 55 min = 6
5560 h = 6
1112 h
Distance travelled by Tim and Zoe in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
1112 x 180
= 1245 km
(b)
Zoe's distance : Tim's distance
4 : 5
Zoe's speed : Tim's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Tim's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1245 km; (b) 100km/h