A can do a job in 10 days and B in 15 days. They are working on a project of Rs. 1500. If A and B worked for 5 days and rest work is finished by C in 2 days. What will be the daily wages of C
Question
A can do a job in 10 days and B in 15 days. They are working on a project of Rs. 1500. If A and B worked for 5 days and rest work is finished by C in 2 days. What will be the daily wages of C
Solution
Sure, let's solve this step by step:
Step 1: Find out how much work A and B can do in a day. A can do a job in 10 days, so A can do 1/10 of the job in a day. B can do a job in 15 days, so B can do 1/15 of the job in a day.
Step 2: Find out how much work A and B can do together in a day. A and B can do (1/10 + 1/15) = 1/6 of the job in a day.
Step 3: Find out how much work A and B did in 5 days. A and B did 5 * (1/6) = 5/6 of the job in 5 days.
Step 4: Find out how much work is left for C. The total job is 1, so the work left for C is 1 - 5/6 = 1/6.
Step 5: Find out how much work C did in a day. C did 1/6 of the job in 2 days, so C did (1/6) / 2 = 1/12 of the job in a day.
Step 6: Find out the daily wages of C. The total wages for the job is Rs. 1500, so the daily wages of C is Rs. 1500 * (1/12) = Rs. 125.
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