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Tricks and Shortcut

Work from Days:
 
If A can do a piece of work in n days, then A's 1 day's work =
 
Days from Work:
 
If A's 1 day's work = , Then A can finish the work in n days.    
 
Ratio:
 
If A is thrice as good a workman as B, then:
 
Ratio of work done by A and B = 3 : 1.
 
Ratio of times taken by A and B to finish a work = 1 : 3
 
Efficiency or Money Distribution:
 
If A can do a work in a days and B in b days, the ratio of the work done by A and B in the same time is b : a. Hence any amount earned by them should be distribution in this ratio only.
 
Also, remember
 
(Man × Day × Hour × 1/work) in one situation = (Man × Day × Hour × 1/work) in another situation.

Pipes & Cisterns

Inlet: A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.

Outlet: A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.
If a pipe can fill a tank in x hours, then:
part filled in 1 hour = .

If a pipe can empty a tank in y hours, then:
part emptied in 1 hour = .

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, then
the net part filled in 1 hour = .

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, then
the net part emptied in 1 hour = .
  • When A can do work in a day and B can do work in b day then working together they complete work in day.
  • When A can do work in a day and working together A and B in b day then B can complete work in day.
  • When A can do work in a day and B can do work in b day C can do work in c day then working together they complete work in day.
  • When A and B completed work in m day, B and C in n day C and A in p day then working together they complete work in day
    1. A alone Complete work in day
    2. B alone Complete work in day
    3. C alone Complete work in day

 




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