We solve
time and work problems also by using time and efficiency. So now, we see hoe to
solve in this method.
The table
is the basic rule. Now when we fill the columns in table, Ta * Ea = Tb * Eb
ie.,
efficiency should be appropriate. Here Efficiency is nothing but the ratio in reverse order.
Efficiencies
should be noted in reverse order.. of ratios.
If Ratios of
A and B are 2:3, then efficiencies must be.. 3:2… Now Ea=3 and Eb=2
Now, work done is..W = T x E (of either A or B, as both are same)
Work done by
A = W/Ea ;(Ea=Efficiency of
A)
Work done by
B = W/Eb ;
(Eb=Efficiency of B)
Work done
by A+B = W/E(a+b) ; (Ea+b=Sum of Efficiencies
of A and B)
Example:
A can do a
work in 10 days. B can complete the same work in 20 days. If they work
together, how many days they take to complete.
Ans : 6 2/3
days
Solution:
A B
T 10 20 w
= 20
E 2 1
(as Ratio of A and B but in reverse order…)
Wa+b = 20/3 = 6 2/3 days…