SOLUTION: Please help with this problem: Norman stated across a lake 10 miles wide in is fishing boat at 12 miles per hour. After his motor went out, he had to row the rest of the way at onl

Question 223580: Please help with this problem: Norman stated across a lake 10 miles wide in is fishing boat at 12 miles per hour. After his motor went out, he had to row the rest of the way at only 3 mph. If he was rowing for half the time that the total trip took, how long did the total trip take?
Thank you very much!

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Norman stated across a lake 10 miles wide in is fishing boat at 12 miles per hour. After his motor went out, he had to row the rest of the way at only 3 mph. If he was rowing for half the time that the total trip took, how long did the total trip take?
.
Applying the distance formula of:
d = rt
.
Let t = total time to get across the lake
then
t/2 = time he was rowing
t/2 = time he was using the motor
.
12(t/2) + 3(t/2) = 10
Multiply both sides by 2:
12t + 3t = 20
15t = 20
t = 20/15
t = 4/3
t = 1 and 1/3 hours (total time)
or
1 hour 20 minutes

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