Rakesh can do a job in 24 days and Bhaskar can finish the same job in 30 days. (i) How long will they take to complete the job if they work together? (ii) If they are paid 1800 for the job, what is the share of each?
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rakesh can do a job in 24 days
In 1 day, rakesh can finish = 1/24 of the work
Bhaskar can finish the same job in 30 days
In 1 day, bhaskar can finish = 1/30 of the work
In 1 day, both can finish = 1/24 + 1/30 = (5+4)/120 = 9/120 of the work.
total days to finish it = 1/(9/120) = 120/9 days = 13.33 days
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total amount paid for the work = 1800
in 120/9 days, rakesh did = 120/9 ÷ 24 = 5/9 of the work
So rakesh's share = 5/9 × 1800 = 1000
Bhaskar's share = 1800 - 1000 = 800
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