14. If 12 men and 16 boys can do a piece of workin 5 days and, 13 men

1.	14. If 12 men and 16 boys can do a piece of workin 5 days and, 13 men and 24 boys can do itin 4 days, how long will 7 men and 10 boys taketo do it?
Answer» Ans :- you will have to find the number of man-days and boy-days required to do the job and equate it. 5(12M+ 16B) = 4(13M + 24B) since the same work is done they will be equal 60M + 80B = 52M + 96B 8M = 16B or M = 2B substitute 2B = M and you will get the total man-days required to do the job and it is 5( 12M + 8M) = 100 man-days so, x(7M+10B) = 100M x(7M+5M)=100M solving this x =25/3 days so 7 men and 10 boys will have to work for 25/3 days to complete the job.

14. If 12 men and 16 boys can do a piece of workin 5 days and, 13 men and 24 boys can do itin 4 days, how long will 7 men and 10 boys taketo do it?

Answer»

Ans :-

you will have to find the number of man-days and boy-days required to do the job and equate it.

5(12M+ 16B) = 4(13M + 24B) since the same work is done they will be equal

60M + 80B = 52M + 96B

8M = 16B or M = 2B substitute 2B = M and you will get the total man-days required to do the job and it is

5( 12M + 8M) = 100 man-days

so,

x(7M+10B) = 100M

x(7M+5M)=100M

solving this x =25/3 days so 7 men and 10 boys will have to work for 25/3 days to complete the job.