Tim left City D for City C at 09 36. Erika left City D for City C at the same time. At 11 36, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 13 22.
- Find the distance between Cities A and C.
- If Erika was 78 the speed of Tim, find Tim's speed.
(a)
Time taken for Tim and Erika to travel 09 36 to 11 36 = 2 h
Time taken for Tim and Erika to travel 09 36 to 13 22 = 3 h 46 min = 3
4660 h = 3
2330 h
Distance travelled by Tim and Erika in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 3
2330 x 180
= 678 km
(b)
Erika's distance : Tim's distance
7 : 8
Erika's speed : Tim's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Tim's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 678 km; (b) 96km/h