SOLUTION: TWINS, DANIEL AND GRACE, TAKE TURNS MOWING THE LAWN. LAST WEEK GRACE MOWED THE LAWN IN 45 MINUTES, THIS WEEK DANIEL MOWED THE LAWN IN 40 MINUTES. WHAT IS THE AVERAGE MOWING RATE PE

Algebra ->  Rate-of-work-word-problems -> SOLUTION: TWINS, DANIEL AND GRACE, TAKE TURNS MOWING THE LAWN. LAST WEEK GRACE MOWED THE LAWN IN 45 MINUTES, THIS WEEK DANIEL MOWED THE LAWN IN 40 MINUTES. WHAT IS THE AVERAGE MOWING RATE PE      Log On


   

Question 906033: TWINS, DANIEL AND GRACE, TAKE TURNS MOWING THE LAWN. LAST WEEK GRACE MOWED THE LAWN IN 45 MINUTES, THIS WEEK DANIEL MOWED THE LAWN IN 40 MINUTES. WHAT IS THE AVERAGE MOWING RATE PER HOUR PER TWIN
THANK YOU SO MUCH!!!!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Daniel's rate is:
( 1 lawn ) / ( 40 min ) = +1%2F40+
Grace's rate is:
( 1 lawn ) / ( 45 min ) = +1%2F45+
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You need the rate per hour, or +60+ min, so
Daniel's rate:
+1%2F40+=+x%2F60+
+60+=+40x+
+x+=+1.5+
Daniel's rate is 1.5 lawns /hour
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Grace's rate:
+1%2F45+=+x%2F60+
+60+=+45x+
+x+=+1.333+
Grace's rate is 4/3 lawns / hour