Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

5 $\frac {5} {11 }$

5 $\frac {6} {11 }$

6 $\frac {5} {11 }$

6 $\frac {6} {11 }$

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Answer : Option A

Explanation :

P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs.

P's1 hour's work = $[ \frac { 1 } { 96 }$ + $\frac { 1 } { 80 } ]$ = $\frac { 11 } { 480 }$

So, both P and Q will finish the work in[ $\frac { 480 } {11 }]$ hrs

Number of days of 8 hours each = $[\frac { 480 } {11 }*$ $\frac { 1 } { 8 }$ ]= $\frac { 60} { 11}$ days=5 $\frac {5} {11 }$ days

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