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Time and Work Ratios Examples
In this class, We discuss Time and Work Ratios Examples.
The reader should have prior knowledge of time and work formulae. Click Here.
Example 1:
A is twice as good a workman as B. A and B together finish a piece of work in 18 days.
In how many days will A alone can finish the work?
Solution:
A's work: B's work = 2: 1
A and B together can finish the work in 18 days.
(A + B). 's one day of work is 1/18.
A's work in one day is 1/18 * 2/3. Because the ratio of their works is given 2: 1
A's one day work 1/27.
A can finish the work in 27 days.
Example 2:
A can finish a job in 12 days. B is 60 percent more efficient than A.
How many days can B alone do the work?
Solution:
Work efficiency A and B are 100: 160 = 5: 8
Understand ratio, total 13 parts. Five parts of the work are done by A, and eight are done by B.
Work efficiency and time are inversely proportional to the formulae.
5: 8 = x: 12
x = (5 * 12)/8.
x = 7 1/2 days
Example 3:
A and B undertake to do a piece of work for rupees 600.
A can do it in 6 days, and B alone can do it in 8 days.
With the help of C, they can finish in 3 days. Find the share of each.
Solution:
(A + B + C) complete in 3 days.
(A + B + C)’s one day's work is 1/3
C's one-day work is 1/3 – (1/6 + 1/8).
= 1/24
A's work: B's work: C's work = 1/6: 1/8: 1/24
A: B: C = 4: 3: 1
A’s share = 600 * 4/8 = 300
B’s share = 600 * 3/8 = 225
C’s share = 600 * 1/8 = 75

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