Mathematics : Time and Work

किसी कार्य को A,B तथा C क्रमशः 24 दिन, 9 दिन व 12 दिन में पूरा कर सकते हैं। B तथा C कार्य प्रारम्भ करते हैं, परन्तु उन्हे 3 दिन बाद यह कार्य छोड़ना पडता है। शेष कार्य को करने में A को लगा समय है , A, B and C can do a piece of work in 24 days, 9 days and 12 days respectively. B and C start the work, but they have to leave after 3 days. The time taken by A to do the remaining work is

A, B and C can do a piece of work in 24 days, 9 days and 12 days respectively. B and C start the work, but they have to leave after 3 days. The time taken by A to do the remaining work is




Solution
C. 10 Days



Explanation

B तथा C का 1 दिन का कार्य

= 1/9 + 1/12 = 4+3 / 36 = 7/36

B तथा C का 3 दिन का कार्य = 7 / 12

शेष कार्य = 1-7/12 = 5/12

कार्य दिन

1 5/12↓ 24 x↓

∴1: 5/12 24 = : x

⟹x = 5 / 12⨯24 =10 दिन

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