X,Y and Z can do a piece of work in 4 days, 5 days and 7 days, respectively. They get Rs. 415 for completing the work. If X,Y and Z have worked together to complete the work, what is X's share?
Rs. 175
The correct answer is Rs. 175.
If they work for the same duration, the payment is distributed in the ratio of their individual work rates. If they work for different durations, the payment is distributed in the ratio of (work rate $\times$ time worked) for each person. In this specific problem, since X, Y, and Z worked together until the work was completed, they all worked for the same duration. Hence, distributing the total amount based on the ratio of their individual work rates ($\frac{1}{4}:\frac{1}{5}:\frac{1}{7}$) is the correct approach.
Similar Questions
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Raghu agrees to complete a work for Rs. 8,400 in 16 days. But by engaging an assistant, the work is completed in 12 days. Find the share of money/remuneration to be received by the assistant.
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Important Questions from Work and Wages
A can complete a work alone in 8 days. B can complete the same work alone in 12 days. C alone complete the same work in 16 days. They complete the work in 3 days with the help of D. If they get Rs.12000 for the work, then how much money does the D get?
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
A can do a work in 12 days and B in 16 days. They undertook to do it for Rs. 6000 with the help of ‘C’ they completed the work in 6 days. What is the share of A?
Twenty lamps can be lighted for 6 hr a day for 20 days at a cost of Rs. 100. How much would be the cost of lighting 40 lamps, 8 hr for 12 days?
