If 2 men or 6 women or 4 boys can finish a work in 99 days, then how many days will one man, one woman and one boy together take to finish the same work?
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it includes both direct and indirect proportion too be logical to solve such problems OK guys...be happy
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Answer:
108 days
Step-by-step explanation:
Since,
2 men or 6 women or 4 boys can finish a work in 99 days,
⇒ 2 men = 6 woman = 4 boys,
⇒ 1 men = 3 woman = 2 boys.
⇒ 1 men = 2 boys and 1 woman = 2/3 boys
Thus, The time taken by one man, one woman and one boy together take to finish the work,
= The time taken by ( 2 + 2/3 + 1 ) boys to finish the work
= The time taken by 11/3 boys to finish the work
Since, 4 boys can finish the work in 99 days.
Let x be the time taken by 11/3 boys to finish the same work,
x × 11/3 = 4 × 99
⇒ x = 108 days.
Hence, one man, one woman and one boy together take to finish the same work in 108 days.
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