Tim left City H for City G at 08 47. Yen left City H for City C at the same time. At 12 47, they were 576 km apart. Both maintained a constant speed and reached their destination at the same time at 15 37.
- Find the distance between Cities A and C.
- If Yen was 57 the speed of Tim, find Tim's speed.
(a)
Time taken for Tim and Yen to travel 08 47 to 12 47 = 4 h
Time taken for Tim and Yen to travel 08 47 to 15 37 = 6 h 50 min = 6
5060 h = 6
56 h
Distance travelled by Tim and Yen in 1 hour
= 576 ÷ 4
= 144 km
Total distance
= 6
56 x 144
= 984 km
(b)
Yen's distance : Tim's distance
5 : 7
Yen's speed : Tim's speed
5 : 7
12 u = 144 km
1 u = 144 ÷ 12 = 12 km
Tim's speed
= 7 u
= 7 x 12
= 84 km/h
Answer(s): (a) 984 km; (b) 84km/h