Question

A boat can travel upstream 14 miles in same it can travel downstream 8 miles. the boat is traveling 13 miles per hour. what is the current

Answer 1

You have these reversed, faster downstream
speed upstream = 13 - v
speed downstream = 13 + v
time = distance/rate
14/(13+v)= 8/(13-v)
182 - 14 v = 104 + 8v
22 v = 78
v = 3.55 mph

check
speed downstream = 3.55+13 = 16.54
time downstream = 14/16.54 = .846 hr
speed upstream = 13 - 3.55 = 9.45
9.45 * .846 = 7.99 ok check