Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

7 hours 30 minutes

8 hours

8 hours 15 minutes

8 hours 25 minutes

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Answer : Option C

Explanation :

Number of pages typed by Ravi in 1 hour = $\frac { 32 } { 6 }$ = $\frac { 16 } { 3}$

Number of pages typed by Kumar in 1 hour = $\frac {40 } { 5 }$ =8

Number of pages typed by both in 1 hour =[ $\frac {16 } { 3 }$ +8]= $\frac {40 } { 3 }$

Time taken by both to type 110 pages =[110 $*\frac {3 } {40 } ]$ hours

8 $\frac { 1 } { 4 }$ hours (or) 8 hours 15 minutes

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