Problema Solution
one custodian cleans a suite of offices in two hours. When a second worker is asked to join the regular custodian it only takes 1 1/3 hours. How long does it take the second worker to do the same job alone
Answer provided by our tutors
Let x represent the number of hours the second worker needs to clean the suite of offices alone
The rate of the second worker is: 1/x office per hour
The rate of the regular custodian is: 1/2 office per hour
1 1/3 = (1*3 + 1)/3 = 4/3
The together rate is: 3/4 office per hour
1/2 + 1/x = 3/4
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x = 4 hr
The second worker needs 4 hours to do the same job alone.