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Basic Math MCQ 15 ( Work capability comparison )

MCQ 15: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in___________days if they work together.

a) 18 days               b) 22 ½ days                   c) 24 days                d) 26 days

Solution:

 

A is thrice good than B — means A can do three times more work in one time duration !

i-e A can do three times more work in one day

So,

1 day for A = 3W

But B takes 3 days for one  work part

3 day for B = W

So we can see there is difference of 2 days !

With difference of 2 days B’ work finish in = 3 day

==> with difference of 1 day B’s work finish in = 3/2 days

==> with difference of 60 days B’s work finish in = 60 x 3/2 = 90 days

or with difference of 60 days ;

Work of   B  =  90 days

or

1 day (for B) = Work (of B) / 90 =W/90————-(1

As A can do three times more work than B;

So,

1 day (for A) = 3x ( 1 day work of B)=3x W/90 =W/30 —————–(2

Adding eq 1 and 2

1 day ( for A + for B) = W/90+W/30= 4W/90

or

W = 90/4 days  (for A+for B)

or

W = 22-1/2 days for ( A and B)

 

So It will take 22.5 days for both A and B to finish the work together !

 

 

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