A takes 5 days more than B to complete a certain work. 4 days after starting the work, B left the work. The remaining work was done by A in 5 days. Find how many days each will take to complete the work
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We call the time it takes for B to finish the piece of work x.
For problems like these, we must consider how much work can be done in one day.
1x+1x−6=14
x−6x(x−6)+xx(x−6)=14
4(x−6+x)=x2−6x
4(2x−6)=x2−6x
8x−24=x2−6x
0=x2−14x+24
0=(x−12)(x−2)
x=12and2
If the time it takes B is 2 days, then the time it takes A is −4 days, which has no sense.
Therefore, it would take B a period of 12 days to finish the job.
Hopefully this helps!
For problems like these, we must consider how much work can be done in one day.
1x+1x−6=14
x−6x(x−6)+xx(x−6)=14
4(x−6+x)=x2−6x
4(2x−6)=x2−6x
8x−24=x2−6x
0=x2−14x+24
0=(x−12)(x−2)
x=12and2
If the time it takes B is 2 days, then the time it takes A is −4 days, which has no sense.
Therefore, it would take B a period of 12 days to finish the job.
Hopefully this helps!
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