A farmer employed 36 labor to dig a pond in 15days, but after 10 days of work he discovered that only 50% of the work was done. How many additional labors are to be employed for completing the job in time?

A farmer employed 36 labor to dig a pond in 15days, but after 10 days of work he discovered that only 50% of the work was done. How many additional labors are to be employed for completing the job in time? Correct Answer 25

36 labors dig in 10 days 1/2 portion So, 36 labors dig in 1 day = 1/(2*10) portion So, 1 labor dig in 1 day = 1/(20*36) = 1/720 portion After 10 days, Remaining work(50%) = 1/2 portion and days left = 5 days 1/720 portion work done in 1 day by 1 labor 1/2 portion work done in 1 day by (720*1)/(2*1) labor 1/2 portion work done in 5 days by 720/(2*5) = 72 labors Hence, additional labors needed to be employed is = (72 - 36) = 36 Answer:36
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