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  1. X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?
    1. 13
      1
      days
      3
    2. 14 days
    3. 15 days
    4. 16
      2
      days
      3
Correct Option: A

Part of the work done by X in 8 days

=
8
=
1
405

∵ work done in 1 day =
1
40

∴ Remaining work = 1 -
1
=
4
55

This part of work is done by Y in 16 days.
∴ Time taken by Y in doing 1 work
=
16 × 5
= 20 days.
4

∴ Work done by X and Y in 1 day
=
1
+
1
=
1 + 2
=
3
40204040



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