Site navigation

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

Question and options

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
  1. 30 days
  2. 40 days
  3. 60 days
  4. 70 days

Answer and explanation

Correct answer: C - 60 days
16A+44B=116A + 44B = 1 can be written 16(A+B)+28B=116(A+B) + 28B = 1. With A+B=130A+B = \frac{1}{30}: 1630+28B=1\frac{16}{30} + 28B = 1, so 28B=143028B = \frac{14}{30}, B=160B = \frac{1}{60}. B alone takes 60 days.

Practice for these exams

  • CUSAT Three-Year LL.B.

Related question papers

Related exam syllabi

More solved explanations in Arithmetic