Tim left City K for City J at 08 32. Nora left City K for City C at the same time. At 12 32, they were 700 km apart. Both maintained a constant speed and reached their destination at the same time at 14 20.
- Find the distance between Cities A and C.
- If Nora was 34 the speed of Tim, find Tim's speed.
(a)
Time taken for Tim and Nora to travel 08 32 to 12 32 = 4 h
Time taken for Tim and Nora to travel 08 32 to 14 20 = 5 h 48 min = 5
4860 h = 5
45 h
Distance travelled by Tim and Nora in 1 hour
= 700 ÷ 4
= 175 km
Total distance
= 5
45 x 175
= 1015 km
(b)
Nora's distance : Tim's distance
3 : 4
Nora's speed : Tim's speed
3 : 4
7 u = 175 km
1 u = 175 ÷ 7 = 25 km
Tim's speed
= 4 u
= 4 x 25
= 100 km/h
Answer(s): (a) 1015 km; (b) 100km/h