A and B can separately complete a piece of work in 20 days and 30 days respectively,they worked together for - Maths - Pair of Linear Equations in Two Variables

Question

A and B can separately complete a piece of work in 20 days and 30
days respectively,they worked together for some time then B left
the work if A completed rest of the work in 10 days then B worked
for how many days?please give meaningful step by step
answer,not any similar link

Shruti Tyagi · Accepted Answer

Dear student,

Amount of work done by A in 1 day=120Amount of work done by B in 1 day=130Let B worked for x daysAccording to question,⇒xAmount of work done by A and B in 1 day+10×Amount of work done by A in 1 day=Total work⇒x120+130+10120=1                      [as in fraction 1 is the highest number]⇒x3+260+10×120=1 ⇒5x60+12=1⇒   x12=1-12⇒x12=12⇒x=122⇒x=6Thus, B worked for 6 hours

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A and B can separately complete a piece of work in 20 days and 30 days respectively,they worked together for some time.then B left the work.if A completed rest of the work in 10 days then B worked for how many days?please give meaningful step by step answer,not any similar link.