SOLUTION: The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was the steamboat's upstream travel time if it was 4 hours more than the time required to travel

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was the steamboat's upstream travel time if it was 4 hours more than the time required to travel       Log On


   

Question 1208884: The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was the steamboat's upstream travel time if it was 4 hours more than the time required to travel the same distance downstream?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the distance in miles traveled one way d .
The time in hours to travel downstream is d%2F22.
The time in hours to travel upstream is d%2F14.
d%2F14=d%2F22%2B4 --> d%2F14-d%2F22=4 --> %2822d-14d%29%2F%2814%2A22%29=4 --> 8d%2F%2814%2A22%29=4 -->
d=4%2A14%2A22%2F8 --> d=14%2A11%7D%7D+--%3E+%7B%7B%7Bd=154
The upstream travel time was d%2F14=14%2A11%2F14=11
The downstream travel time was d%2F22=14%2A11%2F22=7