SOLUTION: a boat can travel 22 miles up a river in the same amount of time that it takes to travel 36 miles down the same river if the boat travels 10 miles per hour in still water what is t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a boat can travel 22 miles up a river in the same amount of time that it takes to travel 36 miles down the same river if the boat travels 10 miles per hour in still water what is t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 928412: a boat can travel 22 miles up a river in the same amount of time that it takes to travel 36 miles down the same river if the boat travels 10 miles per hour in still water what is the speed of the current
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = speed of boat in still water = 10 mph
y = speed of current = ?
---
s = d/t
t = d/s
---
upstream:
t = 22/(x - y)
t = 22/(10 - y)
---
downstream:
t = 36/(x + y)
t = 36/(10 + y)
---
22/(10 - y) = 36/(10 + y)
22(10 + y) = 36(10 - y)
220 + 22y = 360 - 36y
58y = 360 - 220
y = (360 - 220)/58
y = 2.41379310345
---
answer:
y = speed of current = 2.4 mph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php