If A men working A hours a day can do A units of a work in A days, then B men working B hours per da

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29 Jun 2016 How many unit of work?

If A men working A hours a day can do A units of a work in A days, then B men working B hours per day would be able to complete, how many units of work?

OPtion

1) A^2/B^3
2) A/B^2
3) B^2/A^3
4) A/B^3
5) B^3/A^2
6) B/A^2
7) A^3/B^2
8) B/A^3
9) A/B
10)None of these

Solution

More men, more units (Direct)
More working hours, more units (Direct)
More days, more units (Direct)
Men ------------ A:B
Working hrs ---- A:B --- :: A:P
Days ----------- A:B

=> A*A*A*P=B*B*B*A
So P = B^3/A^2 Units
Option 5)

Correct Option: 5 Best Solution (4)

ABHINAV PUSHPAM   8 years AGO

The answer is B^3/A^2.

Using formula m1r1t1/w1 = m2r2t3/w2

Option 5)

Like? Yes (1) | No   

TANIYA ROY   8 years AGO

Amen in A hours in A dayd=A units
B men in B hours in B days=B^3/A^2

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Mukund Manohar   8 years AGO

Let the required number of units be x
More Men,More Work(directly proportional)
More Hours,More Work(directly proportional)
More Days,More Work(directly proportional)
Men A : B
Hours A : B } :: A : x
Days A : B
So, A^3 * x = B^3 * A
=> x = B^3 / A^2
Required number of units of work = B^3/A^2

Like? Yes | No   

Gokul Krishnan   8 years AGO

men A:B
Hours A:B::A:x
days A:B
x=B^3/A^2

Like? Yes | No (2)