SOLUTION: I'M HORRIBLE WITH WORD PROBLEMS AND THIS SEEMS SO SIMPLE, YET IT HURTS MY BRAIN. PLEASE HELP ME!
It takes Eric twice as long as Allen to plant a field of corn. When they worked to
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-> SOLUTION: I'M HORRIBLE WITH WORD PROBLEMS AND THIS SEEMS SO SIMPLE, YET IT HURTS MY BRAIN. PLEASE HELP ME!
It takes Eric twice as long as Allen to plant a field of corn. When they worked to
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Question 84672: I'M HORRIBLE WITH WORD PROBLEMS AND THIS SEEMS SO SIMPLE, YET IT HURTS MY BRAIN. PLEASE HELP ME!
It takes Eric twice as long as Allen to plant a field of corn. When they worked together, it took five hours. How long would it have taken each of them working alone?
a)define variable:
b)write an equation:
c)solution: Answer by dolly(163) (Show Source):
You can put this solution on YOUR website! Let the time taken by Allen to plant a field of corn = x hrs
Then time taken by Eric = 2x hrs
Quantity planted by Allen in 1 hr = 1/x
Quantity planted by Eric in 1 hr = 1/2x
Quantity planted by both in 1 hr = 1/x + 1/2x
= 3/2x
But given they work together and finish in 5 hrs
==> 3/2x = 1/5
==> 2x = 15 [multiplying both sides by LCD = 10x]
==> x = 15/2
==> x = 7 1/2
Thus time taken by Allen to plant a field of corn = 7 1/2 hrs
time taken by Eric to plant a field of corn = 2x = 15 hrs
(