Pls help me solve these questions

  • Twenty workers can finish a piece of work in 30 days.After how many days should 5 workers leave the job so that the work is completed in 35 days?
  • Manoj takes twice as much time as ajay and thrice as much as vijay to finish a piece of work. Together they finish the work in 1 day. What is the time taken by manoj to finich the work?
  • Raju is twice as good as vijay. Together they finish the work in 14 days. In how many days can vijay alone do the same work?
  • 15 men could finish a piece of work in 210 days . But at the end of 100 days, 15 additional men are employed.In how many more days will the work be complete?
  • Ajay, vijay & sanjay are employed to do a piece of work for Rs 529. Ajay & vijay together are supposed to do 19/23of the work & vijay & sanjay together 8/23 of work. How much should Ajay be paid?
  • In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the front . For how many extra days will the rest of the food last for the remaining soldiers?
  • A,B & C can do some work in 36 days.A & B together do twice as much work as C alone & A & C together can do thrice as much work as B alone. Find the time taken by C to do the whole work?

Good way to solve work probs..

hi... for any such quest try to convert the work into man-days( in 1st quest)

eg..20 workers in 30 days i.6 600 man-days; in other words, 600 workers will do it in 1 day or 1 worker will do it in 600 days. now here let 20 workers works for x days and 15 workers for y days, still the amount of work to be done is 600 man days, so

20x+15y=600

and x+y=35 ( because u now want to finish work in 35 days)

solving these 2 equns will give ans 15 days.

 

For questions no2  kind of questions where u get lot of fractions, assume the work to any suitable units for eg making of boxes. now again u need the eff of 3 people which should be multiple of 3,2 and 1.so lets assume work is to make 6 boxes, so manoj will make 1 box, ajay 2 boxes and vijay 3 boxes in a day to finish the work. so if manoj alone works then wil take 6 days to do the same work i.e making 6 boxes..

here note that even if u assume the amount of work to be making 12 boxes or 60 boxes or anything which is divisible by both 2 & 3 u will get same ans.

 

hope this wil help u solve other questions too.. all the best

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