[Math] boat in a river algebra problem

algebra-precalculus

The near stagnant river flowed at only 2 miles per hour. Harold's boat
could go 56 miles down the river in one-half the time it took to go 80
miles up the river. What was the speed of his boat in still water.

not sure how to display the one half time in the equation.

Best Answer

Hint:

  • If the speed of the boat is $v$ in still water, what is the speed river downawards, and what is the speed of the boat river upwards?

  • If you know the speed and the distance, what can you say of the time needed for each voyage?

  • How do the times relate?

Now go solve for $v$.

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