SOLUTION: Working​ together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the&#8

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Question 1111474: Working​ together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the​ job?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Rate for 2 people is
[ 1 lawn ] / [ 5 hrs ]
Let = time for slower
person to mow 1 lawn
Slower person's rate:
[ 1 lawn ] / [ t hrs ]
Faster person's rate:
[ 1 lawn ] / [ t - 1 hrs ]
--------------------------

Multiply both sides by



Complete the square






Faster one takes 9.525 hrs working alone
------------------------------------------
check:




OK
Get a 2nd opinion if you need it


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