The time taken by boys to finish the painting in the gym is 3 1/3 days.
Given that, ten boys agree to paint the gym in 5 days. If five more boys join in before the work begins.
We need to find how many days should the painting take.
How to find work done?
Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.
Let the number of days taken by five more boys be x.
10 boys took 5 days=15 boys took x days
⇒10.5=15.x
⇒x=50/15
⇒10/3=3 1/3 days.
Therefore, the time taken by boys to finish the painting in the gym is 3 1/3 days.
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