A) 12 days
B) 15 days
C) 18 days
D) 19 days
Correct Answer: B
Solution :
Time taken by Kami, Karya and Kirti to weave the carpet = 4 days. Time taken by Kami to weave the carpet = 12 days and, Time taken by Kirti to weave the carpet = 10 days \[\therefore \] Kami, Karya and Kirti's 1 days' work \[=\frac{1}{4}\] Kami's 1 days' work \[=\frac{1}{12}\] and, Kirti's 1 days' work \[=\frac{1}{10}\] Now, Karya's 1 days' work = (Kami, Karya and Kirti's 1 days'work)-(Kami's 1 days' work) - (Kirti's 1 day's work) \[=\frac{1}{4}-\frac{1}{12}\,-\frac{1}{10}\,=\frac{15-5-6}{60}=\frac{4}{60}\,=\frac{1}{15}\] Hence, Karya can weave the carpet in 15 days.
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