Question

8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the
one girl alone that by one boy alone to finish the work.
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Answer 1

Answer:

Time taken by one woman =180 days.

Time taken by one man =280 days.

Step-by-step explanation:

• let time taken by 1 girl to finish the work be X.
• let time taken by 1 boy to finish the work be Y.

ACCORDING TO THE QUESTION.

1. 8/x+12/y=1/10.............[1]
2. 6/x+8/y=1/14................[2]

OPERATING [1]×6 and, [2]×8

we get,

48/x+72/y-6/10=48/x+64/y-8/14

which gives ,y=280.

substituting the value of y in

equation [1] we get, x=180..