A can complete 1/3 of a work in 7 days and B can completed 2/7 of the same work in 10 days. In how many days can both A and B together complete the work ?

A can complete 1/3 of a work in 7 days and B can completed…

A can complete $\frac{1}{3}$ of a work in 7 days and B can completed $\frac{2}{7}$ of the same work in 10 days. In how many days can both A and B together complete the work ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $13\frac{1}{8}$ .

A takes to complete the whole work = 7 × 3 = 21 days

B takes to complete the whole work = 10(7/2) = 35 days

Combined work rate = 1/21 + 1/35 = 8/105 work/day

Time required for A and B = 1/(8/105) = 105/8 = $13\frac{1}{8}$ days

Therefore, A and B together can complete the work in $13\frac{1}{8}$ days.

SSC CGL 2023 PYQ — Question 58