Page 52 - Arithmetic
P. 52
Time and Work
REMEMBER:
If a person ‘P’ can do work in n days, then P’s one day work is 1 𝑛
If ‘P’ is twice as good as ‘Q,’ then the ratio of work done by P and Q would be 2:1 Ratio of the time taken by P and Q to do work is 1:2
Worked Example 22
P and Q can complete their work in 24 days, Q and R can complete in 36 days, and P and R can complete in 18 days. If all three work together, in how many days can they complete the work?
Solution:
P and Q one day work = 1 24
Q and R one day work = 1 36
P and R one day work = 1 18
+ 1
Therefore, working together, they can complete the task in 16 days.
Adding all the three = 2 (P + Q + R ) =
= 1
P, Q and R one day’s work = 1 16
1 + 1
24 36 18 8
Page 51 of 55
Arithmetic Concept
