A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in :
A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in :
[A]60 minutes
[B]75 minutes
[C]80 minutes
[D]150 minutes
75 minutes
Work done by (A + B + C) in 1 minute $latex = \frac{1}{30}&s=1$
Work done by (A + B) in 1 minute $latex = \frac{1}{50}&s=1$
∴ Work done by C alone 1 minute $latex = \frac{1}{30}-\frac{1}{50}&s=1$
$latex = \frac{5-3}{150} = \frac{2}{150} = \frac{1}{75}&s=1$
∴ C alone will complete the work in 75 minutes.
Hence option [B] is correct answer.