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# 2 men and 7 boys can do a piece of work in 4 days.The same work is done in 3 days by 4 men and 4 boys.How long would it take for one man and one boy to do it?

Asked by Androwe Geoyd B Theakkath , on 20/6/15

2 men and 3 boys can do a piece of work in 16 days.
5 men and 6 boys can do a piece of work in 7 days.
4 men and 8 boys can do a piece of work in ? days.
D = RT
Let a combination of m + b be the "rate" in this problem.

(2m + 3b)16 = (5m + 6b)7
32m + 48b = 35m + 42b
-3m = -6b
m = 2b
1m = 2b.
We now know 1 man equals workload of 2 boys.
Basically now (since 1 men = 2boys)

5 boys can do the work in 16 days.
16 boys can do the work in 7 days.
16 boys can do the work in 7 days.

But 16 boys is the equivalent of 4 men and 8 boys, so it 's 7 days.

Posted by Bluestar(DELHI PUBLIC SCHOOL) on 12/4/12

Thank u so much!!!

Posted by Lavenderon 12/4/12

 2 men and 3 boys can do a piece of work in 16 days.  5 men and 6 boys can do a piece of work in 7 days.  4 men and 8 boys can do a piece of work in ? days.  D = RT  Let a combination of m + b be the "rate" in this problem.  (2m + 3b)16 = (5m + 6b)7  32m + 48b = 35m + 42b  -3m = -6b  m = 2b  1m = 2b.  We now know 1 man equals workload of 2 boys.  Basically now (since 1 men = 2boys)  5 boys can do the work in 16 days.  16 boys can do the work in 7 days.  16 boys can do the work in 7 days.  But 16 boys is the equivalent of 4 men and 8 boys, so it 's 7 days.

Posted by Rocky Rockson 12/4/12

you shameless bluestar... you are always copying answers of other from either meritnation or yahoo answer

Posted by Djani Arcobaton 12/4/12

areee toh too answer de ke bata de.....dimag ki kami hia...u dont have brains.....

sirf main hi nahi yahaan pe sabhi yaahi karte hain....aur furk kya padhta....

jise jo answer chahiye he/she gets it on time...u are shamless as u don 't even answer others question....u are good for nothing....u dont even try to answer them.....atleast there are those who try and help others......toh.....bolne se pehle soch liya kar........

Posted by Bluestar(DELHI PUBLIC SCHOOL) on 13/4/12

yes bluestar u are right

i agree with u

Posted by Rocky Rockson 13/4/12

2 men and 7 boys can do a piece of work in 4 days.The same work is done in 3 days by 4 men and 4 boys.How long would it take for one man and one boy to do it? Is The Question Not

 2 men and 3 boys can do a piece of work in 16 days. 5 men and 6 boys can do a piece of work in 7 days. 4 men and 8 boys can do a piece of work in ? days.

Posted by Rohith Edaton 25/9/12

there is an error ayushi where u wrot ethat 5 men can do apiece of aork in 16 days please check but thanx very much for the loveley answer u gave

Posted by Prasoon Baglaon 9/1/13