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A and B can do a piece of work in 10 h, B and C can do it in 15 h, while A and C take 12 h to complete the work. B independently can complete the work in
A) 12 h
B) 16 h
C) 20 h
D) 24 h
Correct answer:
D) 24 h
Description for Correct answer:
A's and B's 1 h work = 1/10
B's and C's 1 h work = 1/15
and A's and C's 1 h work = 1/12
A's, B's and C's 1 h work = \( \Large\frac{1}{2}\left(\frac{1}{10}+\frac{1}{15}+\frac{1}{12}\right) \)
=\( \Large\frac{1}{2} \times \frac{1}{4} = \frac{1}{8} \)
Hence, B's work in 1 h = \( \Large\frac{1}{8} - \frac{1}{12} = \frac{1}{24}\)
B independently can complete the work in 24 h.
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