SOLUTION: On​ Monday, Alberta picked the strawberry​ patch, and Ernie sold the berries. On​ Tuesday, Ernie picked and Alberta​ sold, but it took him 2 hours longer to
Algebra.Com
Question 1089241: On Monday, Alberta picked the strawberry patch, and Ernie sold the berries. On Tuesday, Ernie picked and Alberta sold, but it took him 2 hours longer to get the berries picked than it took Alberta. On Wednesday they worked together and got all of the berries picked in 5 hours. How long did it take Ernie to pick the berries by himself? Find an exact answer and an approximate answer to the problem.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Alberta's time in hrs to pick on monday
= Ernie's time in hrs to pick on tuesday
= their time in hrs picking together on wednesday
---------------------------------------------------
I think what they are not telling you is that they need a
certain amount of berries each day, and they stop picking
when they get that amount. I can call that amount [ 1 load of berries ]
------------------------------------------------------------
Alberta's rate of picking:
[ 1 load of berries ] / [ t hrs ]
Ernie's rate of picking:
[ 1 load of berries ] / [ t + 2 hrs ]
Their rate of picking working together:
[ 1 load of berries ] / [ 5 hrs ]
-----------------------------------
Add their individual rates to get their rate working together
Multiply each side by
Complete the square
This is Ernies exact time in hrs
Ernie's approximate time in hrs
---------------------------------
check the answer:
OK
( you can check using also )
RELATED QUESTIONS
On Monday, Luis picked up seven scones and two large coffees for the office staff. (answered by josgarithmetic)
On Monday, Harold picked up six donuts and five large coffees for the office... (answered by stanbon)
Three golfers, Vijay, Ernie, and Phil , during five years had a... (answered by ikleyn)
I picked 97 pears on Monday and 103 pears on Tuesday. What percentage was the... (answered by checkley79)
A publisher for a promising new novel figures fixed costs (overhead,... (answered by jorel1380)
Esmeralda invested $46004600 in two stock plans. On one, the risky... (answered by ikleyn)
The following data represent the asking price of a simple random sample of homes for... (answered by Boreal)
On the opening night of a play at a local theater, 992 tickets were sold for a... (answered by josgarithmetic,MathTherapy)
On the opening night of a play at a local theatre, 990 tickets were sold for a... (answered by josmiceli)