Quantitative Aptitude Free-Study Notes
12.
TIME AND WORK
A.
If A can do a piece of work in n days, then A's 1 day's work = (1/n).
B.
If A’s 1 day's work = (1/n),then A can finish the work in n days.
C.
A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
D.
If the number of men engaged to do a piece of work is changed in the ratio a:b, the time required for the work will be changed in the ratio b:a
E.
If A is X times as good a workman as B, then A will take 1/x of the time that B takes to do a certain work.
F.
If M1 persons can do `W1' works in D1 days for T1 hours and M2 persons can do `W2' works in D2 days for T2 hours then M1 D1 T1 W2 = M2 D2 T2W1.
G.
If A can finish a work in `x' days and B can finish the same work in `y' days, then time taken by both to finish the work is xy / x+y days
H.
If A and B together can do a piece of work in x days and A alone can do it in y days then B alone can do it in xy / y-x days
I.
If A, B and C can do a work in x,y, and z days respectively, then all of them working together can finish the work in xyz / xy+yz+zx days
J.
If two taps A and B take a and b hours resepectively to fill a tank, then the two taps together fill 1/a + 1/b part of the tank
in an hour and the entire tank is filled in 1/(1/a+1/b) - ab/(a+b)
Ratio of times taken by A and B to finish a work = 1 : 3.