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Discussion :: Time and Work

  1.  

    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?
    2. A.

    7 hours 30 minutes
    B.

    8 hours
    C.

    8 hours 15 minutes
    D.

    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]=\(\frac {40 } { 3 } \)

     

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

     

    Therefore8\(\frac { 1 } { 4 } \)hours (or) 8 hours 15 minutes

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