Math - Simultaneous Equations

2010-12-28 2:37 am
文字題:
2 Cars 280km apart setting out at the same time will meet in 4 hours
if they travel in opposite directons.

But they will be together in 14 hours
if they drive in the same direction.

Find their speed!

有冇高手知點solve~

回答 (1)

2010-12-28 2:53 am
✔ 最佳答案
Let the speeds of the cars be x km/h and y km/h, x>y.
time X speed = distance

4(x+y)=280
14(x-y)=280
[(x+y) is the distance that 2 cars approaching each other per hour,
(x-y) is the distance that the faster car catch up the slower car per hour]

x+y=70......(1)
x-y=20.......(2)

[(1)+(2)]/2:
x=45
y=70-45=25

The speeds of the cars are 45km/h and 25km/h


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