Maths linear equation

2013-02-02 8:11 am
A boat takes 3 hours to reach a destination 48km apart when it goes downstream and takes 4 hours for the return journey. What is the speed of th boat? What is the speed of the water current?

回答 (2)

2013-02-02 9:59 am
✔ 最佳答案
Let b km/h be the speed of the boat, and w km/h be that ofthe water current.

3(b + w) = 48 ...... [1]
4(b - w) = 48 ...... [2]

From [1] :
b + w = 16 ...... [3]

From [2] :
b - w = 12 ...... [4]

[3] + [4] :
2b = 28
b = 14

[3] - [4] :
2w = 4
w = 2

The speed of the boat = 14 km/h
The speed of the water current = 2 km/h
參考: wanszeto
2013-02-02 9:56 am
Hi I am marcoleongk89
Today I am going to solve the equation



let x km / h be the speed of the boat
Then y km / h be the speed of the water current


3x = 48 -(1)
4y = 48 - (2)



And then you can use the method of elimination or graphical method or the method of substitution to solve it


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