Bodhak competitive bank exam time work in this chapter we will discuss Time and Work, Pipes and Cisterns, Number system. We will see how o solve through equations and through shortcut methods.
Time and Work:
A can do a piece of work in x days then A’s one day work is 1/x.
B can do a piece of work in y days then B’s one day work is 1/y.
competitive bank exam time & work
A and B one day work is 1/x + 1/y
If C’s one day work is 1/z then he can complete the work in z days.
an example quotation:
A can do a piece of work in 20 days, B can do the same work 30 days then A and B together can complete the work in how many days?
Solution : We can solve the above problem in 2 methods.
Method 1: A=20 —–> 1/20
B=30 —–> 1/30
A + B = (1/20)+(1/30) = 5/60=1/12
Answer is 12 Days.
Method 2: L.C.M method or units method
A = 20, B=30
Step 1: Find L.C.M of 20,30 i.e 2,3
10X2X3 = 60
So 60 is called units.
A = 60 units/20 days = 3 units per days
B = 60 units/30 days = 2 units per days
A + B = 3 + 2 = 5 units per day
so 60/5 = 12 days
Pipes and Cisterns:
Pipes and Cisterns are same as time and work. Their men will work here pipes will work. Their total is called units and here total is called liters.
Two pipes A and B can fill a tank in 36 and 45 hours respectively. If both the pipes are opened simultaneously, how much time they take to fill the tank?
The L.C.M (Least Common multiple) of 20,30 is
10X2X3 = 60
The H.C.F (Highest Common Factor) of 20,30 is