aptitudee

Question

Three typists A,B and C working together 8 hours per day can type 900 pages in 20 days. In a day B types as many pages more than A as C types as many pages more than B. The number of pages typed by A in 4 hours equal to the number of pages typed by C isn 1 hour. How many pages C types in each hour?

Answer 1

Let  number of pages typed by C  per hour   =    x

 Hence number of pages typed by A per period of 4 hours  =  x

 Hence number of pages typed by C per day   =  8x  [ as each of A , B and C work 8 hours per day ]

           Number of pages typed by A per day   =  2x  [ as A types x pages per 4 hours ]

Now let pages typed by B per day be equal to  'y' ..

According to the question :

          Pages by C  -  Pages by B       =      Pages by B  -   Pages by A

 ==>   8x  -   y         =        y   -    2x

 ==>   2y                 =       10x

 ==>   y                   =       5x

Thus total number of pages printed by A , B and C together  in a day   =   2x + 5x + 8x  =   15x

Hence in 20 days , number of pages they will print                              =  300x

And give also number of pages they print in 20 days                           =  900

Hence

             300 x   =   900

==>       x         =   3

Hence number of pages typed by C per hour    =   x   =   3