Question

A and B can complete a job in 14 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then Aleft. The number of days B will take to complete the remaining job is​

Answer 1

Answer:

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Step-by-step explanation:

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/x

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24So x=96 days

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24So x=96 daysNow P and Q work together for 8 days, work completed by them is 8×(1/32+1/96)=1/38×(1/32+1/96)=1/3

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24So x=96 daysNow P and Q work together for 8 days, work completed by them is 8×(1/32+1/96)=1/38×(1/32+1/96)=1/3So remaining work is 2/3 which is done by Q alone, so let y be the number of days required by Q to complete 2/3 of work. So we get,

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24So x=96 daysNow P and Q work together for 8 days, work completed by them is 8×(1/32+1/96)=1/38×(1/32+1/96)=1/3So remaining work is 2/3 which is done by Q alone, so let y be the number of days required by Q to complete 2/3 of work. So we get,y(1/96)=2/3y(1/96)=2/3

P alone completes a job in 32 days. So work done by P in 1 day =1/32=1/32Let Q alone complete job in x days, so work done by Q in 1 day =1/x=1/xIf both complete job in 24 days, work done in one day is 1/241/24, we get1/32+1/x=1/241/32+1/x=1/24So x=96 daysNow P and Q work together for 8 days, work completed by them is 8×(1/32+1/96)=1/38×(1/32+1/96)=1/3So remaining work is 2/3 which is done by Q alone, so let y be the number of days required by Q to complete 2/3 of work. So we get,y(1/96)=2/3y(1/96)=2/3y= 64 days