SOLUTION: Tina can weed her vegetable garden completely in 20 minutes. Her friend Marisa can do the same task in 50 minutes. If they work​ together, how long does it take Tina and Mari

Algebra ->  Finance -> SOLUTION: Tina can weed her vegetable garden completely in 20 minutes. Her friend Marisa can do the same task in 50 minutes. If they work​ together, how long does it take Tina and Mari      Log On


   



Question 1080749: Tina can weed her vegetable garden completely in 20 minutes. Her friend Marisa can do the same task in 50 minutes. If they work​ together, how long does it take Tina and Marisa to weed the vegetable​ garden
Found 3 solutions by jorel1380, josmiceli, MathTherapy:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Tina does 1/20th of weeding her vegetable garden per minute. Likewise, Marisa does 1/50th a garden per minute. So:
1/20+1/50=1/n
5/100+2/100=1/n
7/100=1/n
7n=100
n=100/7, or 14.28571 minutes to weed the garden, working together. ☺☺☺☺

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Tina's rate of working:
[ 1 garden weeded ] / [ 20 min ]
Marisa's rate of working:
[ 1 garden weeded ] / [ 50 min ]
---------------------------------
Add their rates of working to get their rate
working together, which is:
[ 1 garden weeded ] / [ t min ]
---------------------------------------
+1%2F20+%2B+1%2F50+=+1%2Ft+
Multiply both sides by +100t+
+5t+%2B+2t+=+100+
+7t+=+100+
+t+=+14+%2B+2%2F7+
+%282%2F7%29%2A60+=+17.14+
Working together, it will take them
14 min 17 sec
-----------------------------------
check:
+1%2F20+%2B+1%2F50+=+1%2F%28100%2F7%29+
+.05+%2B+.02+=+.07+
OK

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Tina can weed her vegetable garden completely in 20 minutes. Her friend Marisa can do the same task in 50 minutes. If they work​ together, how long does it take Tina and Marisa to weed the vegetable​ garden
The following answer from someone is INCORRECT: matrix%281%2C3%2C+200%2F7%2C+or%2C+%2228.%2B%2B%2B%2B%22%29