UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A and B together can finish a work in 12 days. B and C together can finish it in 16 days. A worked at it for 5 days and...
Type: MCQ • Marks: 1
A and B together can finish a work in 12 days. B and C together can finish it in 16 days. A worked at it for 5 days and B for 7 days, then C completed the remaining work in 13 days. In how many days can C alone finish the work?
Options
A. 1) 30 days
B. 2) 24 days
C. 3) 36 days
D. 4) 18 days
Explanation
5A + 7B + 13C = 1 => 5(A+B) + 2(B+C) + 11C = 1. Since A+B = 1/12 and B+C = 1/16, we get 5(1/12) + 2(1/16) + 11C = 1 => 5/12 + 1/8 + 11C = 1 => 13/24 + 11C = 1 => 11C = 11/24 => C = 1/24. Thus, C alone finishes the work in 24 days.
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