d A is thrice as good as B in work. A is able
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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 as good as B in work. A is able…

The statement means A can do three times more better in a one-time duration!

so,  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 a difference of 2 days!

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

==> with a 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 a 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

hence1 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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### 1 Comment

1. Reply

Montessori and primary teachers should have more perks and privileges than high school teachers or even lecturers at college or university levels because it is much difficult to teach kindergarten kids than adult students at higher education levels , Am I right?

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