A and B together can do a piece of work in 6 days. If A’s one day’s work (1/2) is times the one day's work of B, find how many days, each alone can finish the work.

Let A's one day work be x and B's one day work be y. According to first condition given in the problem, A works times of B, ⇒ 2x = 3y ⇒ 2x - 3y = 0 ......(1) Also given, A and B together can do a piece of work in 6 days. ⇒ 6(x + y) = 1 ⇒ 6x + 6y = 1 ...(2) Multiplying (1) by 2 we get, ⇒ 2(2x - 3y) = 2 × 0 ⇒ 4x - 6y = 0 ...(3) Adding equations (2) and (3) we get, ⇒ 6x + 6y + 4x - 6y = 1 + 0 ⇒ 10x = 1 ⇒ x = Substituting value of x in equation (1), we get : ⇒ 2 × - 3y = 0 ⇒ - 3y = 0 ⇒ 3y = ⇒ y = Since, A's one day work is x and B's one day work is y, so A can do complete work in and B can do work in days. = 10 days = 15 days Hence, A can finish the work in 10 days while B can finish the work in 15 days.

6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in 10 days. Find the time taken by one man alone and by one boy alone to finish the work.

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A lady has 25-P and 50-P coins in her purse. If in all she has 80 coins totalling ₹ 25, how many coins of each kind does she have ?

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The solution of the simultaneous equations 3x - 2y = 5 and x + 2y = -1 is :
x = 1, y = 1
x = 1, y = -1
x = -1, y = 1
x = -1, y = -1

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Mathematics

A and B together can do a piece of work in 6 days. If A’s one day’s work (1/2) is times the one day's work of B, find how many days, each alone can finish the work.

Linear Equations

Related Questions

6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in 10 days. Find the time taken by one man alone and by one boy alone to finish the work.

A lady has 25-P and 50-P coins in her purse. If in all she has 80 coins totalling ₹ 25, how many coins of each kind does she have ?

The solution of the simultaneous equations 3x - 2y = 5 and x + 2y = -1 is :
x = 1, y = 1
x = 1, y = -1
x = -1, y = 1
x = -1, y = -1

Mathematics

A and B together can do a piece of work in 6 days. If A’s one day’s work (1/2) is times the one day's work of B, find how many days, each alone can finish the work.

Linear Equations

Related Questions

6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in 10 days. Find the time taken by one man alone and by one boy alone to finish the work.

A lady has 25-P and 50-P coins in her purse. If in all she has 80 coins totalling ₹ 25, how many coins of each kind does she have ?

The solution of the simultaneous equations 3x - 2y = 5 and x + 2y = -1 is :x = 1, y = 1x = 1, y = -1x = -1, y = 1x = -1, y = -1

The solution of the simultaneous equations 3x - 2y = 5 and x + 2y = -1 is :
x = 1, y = 1
x = 1, y = -1
x = -1, y = 1
x = -1, y = -1