a और b किसी काम को क्रमश : 12 तथा 18 दिनों में कर सकते है a काम करना शुरू करता है और वे बारी बारी से एक एक दिन काम करते है तो काम कितने दिनों में ख़त्म होगा ?

Options

A. `14(1)/(3)` days
B. `15(1)/(3)` days
C. `16(1)/(3)`days
D. `18(2)/(3)`days

Answer

a

Explanation

A's one day work = 3 units
B's one day work = 2 units
A starts the work and does 3 units and B does the work 2 units / day they both do 5 units of work in 2 days , they both do 5 units of work in 2 days they both do 35 units of work in 14 days
(divede `(36)/(5)` . take it to thwe closest )
work left `implies` 36-35 =1 unit , Now A 's turn .
A completes `implies (1unit)/(3 units // days)=(1)/(3)` day
whole work completes in
`implies 14+(1)/(3)=14(1)/(3)`days