Question

4 men and 6 boys can finish a piece of work in 20 days while 3 men and 4 boys can finish in in 28 days find the time taken by one man alone and one by one boy alone to finish the work

Answer 1

Answer:

4x+6y_=20

3x +4y=28

solve the e q. and. will be the answer of x and y.

men=x and boy=y

Answer 2

Answer:

x=140,y=280

Step-by-step explanation:

let the work done by 1 men be 1/x

so the work done by 4 mens is 4/x,

similarly work done by 1 boy be 1/y

so the work done by 6 boys be 6/y

4/x+6/y=1/20

let 1/x be a and 1/y be b

4a+6b=1/20

80a +120b=1

simiarly,

3/x+4/y=1/28

3a+4b=1/28

84a+112b=1

using elimination method

a=1/140, b=1/280

so (x=140, y=280 )days

hope it helps......

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