A team of Diggers

Algebra Level 3

The senior boys at a school took upon themselves the digging of a ditch in the school yard and organized a team of diggers.If the team had worked all at once, the ditch would have been ready in 24 hours.Actually ,however,only one boy began.After a time, another boy joined him,and then again after the same amount of time-a third boy joined in,then a fourth,and so on up to the last one.It was found that the first had worked 11 times longer than the last.

How much time did the last boy work?(in hours)

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