Let's call the speed of the boat in still water "x" mph. Against the current, the boat would be traveling at a speed of "x - 7" mph, and with the current, the boat would be traveling at a speed of "x + 7" mph.
Given that the boat travels three times slower against the current than with the current, we can set up the equation:
x - 7 = (x + 7) / 3
Multiplying both sides of the equation by 3 to eliminate the fraction, we get:
3(x - 7) = x + 7
Expanding the left side of the equation:
3x - 21 = x + 7
Subtracting "x" from both sides:
2x - 21 = 7
Adding 21 to both sides:
2x = 28
Dividing both sides by 2:
x = 14
Therefore, the speed of the boat in still water is 14 mph.
A current's speed is 7 mph. A boat travels three times slower against the current that with the current. What is the speed of the boat in still water?
1 answer