Q. 24.4( 30 Votes )

# 5 women and 2 men

Answer :

Let W and M represent the work done by a woman and a man respectively.

It is given that 5 women and 2 men can do the work in 4 days.

So, work done by 5 women and 2 men in a day will be

⇒ 20W + 8M = 1 …. (i)

Also,

It is given that 6 women and 3 men can do the same work in 3 days.

So, work done by 6 women and 3 men in a day will be

⇒ 18W + 9M = 1 …. (ii)

From (i) and (ii) equation,

20W + 8M = 18W + 9M

⇒ 2W = M

This means that the work done by 2 women in a day is equal to the work done by a man in a day. Substituting the value of M in (i) equation, we get

20W + 8M = 1

⇒ 20W + 8× 2W = 1

⇒ (20 + 16) W = 1

So, a woman do work in a day.

This means a woman will finish the work in 36 days if working alone.

Now, put the value of W in (ii),

18W + 9M = 1

So, a man do work in a day.

This means a man will finish the work in 18 days if working alone.

Rate this question :

Solve the followiGujarat Board Mathematics

Solve the followiGujarat Board Mathematics

Solve the followiGujarat Board Mathematics

Solve the followiGujarat Board Mathematics

A boat goes 21 kmGujarat Board Mathematics

Solve the followiGujarat Board Mathematics

If the pair of liGujarat Board Mathematics

The pair of lineaGujarat Board Mathematics

Solve the followiGujarat Board Mathematics

The solution set Gujarat Board Mathematics