Problem: A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Tk. 4,500 for the whole work, how should they divide the money?
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Correct Answer: A’s share 2,250 Tk.; B’s share 1,500 Tk.; C’s share 750 Tk.
Explanation:
(A + B), s 5 days work= 5($\frac{1}{10}+\frac{1}{15}$)
=$\frac{5}{6}$
Remaining work = 1-$\frac{5}{6}$= $\frac{1}{6}$
C’s 2 day work = $\frac{1}{6}$