Question

a person rows a boat at 3m/s against the river current and 6m/s with the current. what is the speed of the current

Answer 1

1.5 m/s

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Let the speed of the boat be b and speed of the current be c.

Set up equations for speed in each direction:

• b - c = 3
• b + c = 6

Use substitution method to find the value of c. From the first equation we find that:

• b = c + 3

Substitute value b into second equation and solve for c:

• c + 3 + c = 6
• 2c + 3 = 6
• 2c = 3
• c = 1.5

Therefore, the speed of the current is 1.5 m/s.