Math (Time & Work) Notes In Hindi

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Math (Time & Work) Notes In Hindi

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Time and work

Time and work simultaneous performance involving the efficiency of an individual or a group and the time taken by them to complete a piece of work.

Important formula:-

  1. If A can do a piece of work in n days, then A’s one day’s work = 1/n
  2. If A’s one day’s work = 1/n, then A can finish the work in n days.
  3. If A is thrice as good a workman B, then

The ratio of work done by A and B = 3:1

The ratio of times taken by A and B to finish work = 1:3

  • Total work = No of days * Efficiency.

Pipes and Cisterns Formula-

  1. Inlet: A pipe connected with a tank or a cistern or reservoir, that fills it, it is known as an inlet.
  2. Outlet: A pipe connected with a tank or a cistern or a reservoir, emptying it, it is known as an outlet.
  3. If a pipe can fill a tank in x hours, then the part filled in one hour = 1/x.
  4. If a pipe can empty a full tank in y hours, then the part emptied in 1 hour = 1/y.
  5. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y>x) then on opening both the pipes, the net part filled in one hour = (1/x – 1/y)
  6. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x>y), then on opening both the pipes, the net part emptied in one hour = (1/y -1/x).

Some Questions from Time and Work-

Q.1.In the beginning, Ram works at a rate such that he can finish a piece of work in 24 hrs, but he only works at this rate for 16 hrs. After that, he works at a rate such that he can do the whole work in 18 hrs. If Ram is to finish this work at a stretch, how many hours will he take to finish this work?

  1. a  12 hrs
  2. b 18 hrs
  3. c 11½ hrs
  4. d  15 hrs

उत्तर: D. 

Q.2. A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?

  1. a. 5 days
  2. b. 10 days
  3. c. 15 days
  4. d. 20 days

उत्तर: A. 

Q.3. A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?

  1. a. 2 days
  2. b. 3 days
  3. c. 4 days
  4. d. 5 days
उत्तर: D. 

Q.4.A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?

  1. a. 12 days
  2. b. 4 days
  3. c. 3 days
  4. d. 2 days

उत्तर: C. 

Q.5.A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

  1. a. 45 days
  2. b. 22.5 days
  3. c. 25 days
  4. d. 18 days
उत्तर: A. 

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