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Correct option is C)

Number of days required to complete the work by one worker $=40×40=1600$ mandays(days per worker)

Day----mandays----total mandays

10 400 400

20 350 750

30 300 1050

40 250 1300

50 200 1500

:

After 50 days:

1500 man-hrs have been accumulated, 15 men are on the job.

Then, 100 more man-days required

$15d=100$

$∴$ $d=100/15=6.66$

$∴$ Total no. of days required $=50+6.66=56.66$ days.

Hence, option C is correct.

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