中一方程應用問題...急...

2012-12-05 1:26 am
City A is 100km to yhe west of city B .David rides a bicycle 15km/h from city A to the west.At the same time, Alice drives a car y km/h from city B to the west.

a) Express,in terms of y ,the distance between David and Alice after 2 hours.

b)If Alice catched up with David after 2.5hours,find the value of y.


THX!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
更新1:

我想ask 回答者1 ,why After 2 hours , David is 2(15) + 100 km to the west of B,not just 2(15)?

回答 (2)

2012-12-05 2:11 am
✔ 最佳答案
_____________ A ─────────────────── B
_____________ |------------------100km ------------------|
............<<< David(15 km/h)..........................<<< Alice(y km/h)
a) After 2 hours , David is 2(15) + 100 km to the west of B , while
Alice is 2y km to the west of B.∴ The distance between David and Alice after 2 hours
= 2(15) + 100 - 2y
= 130 - 2y km
b) After 2.5 hours , David is 2.5(15) + 100 km to the west of B , while
Alice is 2.5y km to the west of B.Alice catched up with David means that
2.5(15) + 100 = 2.5y
137.5 = 2.5y
y = 55

2012-12-04 19:17:05 補充:
2(15) to the west of A.
2(15) + 100 to the west of B.
2012-12-09 3:22 am
2(15) to the west of A.
2(15) + 100 to the west of B.


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