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A woman can role upstream at 16 km and downstream at 26km/hr.what is the speed of the stream?

Apr 16

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Apr 16

Let the speed of the woman be x km/hr and the speed of the stream be y km/hr.

When the woman rows upstream, her effective speed is (x - y) km/hr. Given that she rows upstream at 16 km/hr, we have:

x - y = 16

When the woman rows downstream, her effective speed is (x + y) km/hr. Given that she rows downstream at 26 km/hr, we have:

x + y = 26

Now, we can solve these two equations simultaneously to find the values of x and y.

Adding the two equations together, we get:

2x = 42

x = 21

Substitute the value of x back into one of the equations, we get:

21 + y = 26

y = 5

Therefore, the speed of the stream is 5 km/hr.

When the woman rows upstream, her effective speed is (x - y) km/hr. Given that she rows upstream at 16 km/hr, we have:

x - y = 16

When the woman rows downstream, her effective speed is (x + y) km/hr. Given that she rows downstream at 26 km/hr, we have:

x + y = 26

Now, we can solve these two equations simultaneously to find the values of x and y.

Adding the two equations together, we get:

2x = 42

x = 21

Substitute the value of x back into one of the equations, we get:

21 + y = 26

y = 5

Therefore, the speed of the stream is 5 km/hr.