Q. 134.2( 17 Votes )

# 4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1 man alone or that by 1 boy alone.

Answer :

Let the time taken by the boy be x and the time taken by the men be y.

According to question

⇒ …(1)

⇒ …(2)

∴ Equation 1 can be written as

∴ Equation 2 can be written as

∴ we have

…(3)

…(4)

Multiply 3 by 3 and 4 by 4 we get

Subtracting above equations we get

substituting v in above equation we get

∴ we get x = 35 and y = 70

Time taken by boy = 35 days

Time taken by men = 70 days.

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PREVIOUSA pipe can fill 4 water tanks in 2 h 20 min. How long will it take to fill 7 such tanks using the same pipe?NEXTTwo pipes running together can fill a pipe in 11 1/9 minutes. If one pipe takes 5 mins more than the other to fill the tank separately. Find the time in which each pipe would fill the tank separately.

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