Arithmatical - Time and Work

DIRECTIONS : Problems based on time and work.
21. A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
  A.  6x1/2 days
  B.  7 days
  C.  7x1/2 days
  D.  8 days
Solution
Son's 1 day's work= (1/3-1/5)
=2/15.
The son alone can do the work in = 15/2
=7x1/2 days.
22. A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and Band C together 8/23 of the work. What amount should A be paid?
  A.  Rs.315
  B.  Rs.345
  C.  Rs.355
  D.   Rs.375
Solution
Work done by A=(1 - 8/23)
= 15/23
A : (B+C)=(15/23 : 8/23)
= 15 : 8
So, A's share=Rs.(15/23 x 529)= Rs.345.
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