Question

The ratio of the rates of doing work of P, Q and Ris 3:4:5. If they completed a job working together, what part of it did P complete? ​

Answer 1

Answer:

Part of total work done by P = \bold{\frac{1}{4}}

4

1

Step-by-step explanation:

Since ratio of rate of work done is 3:4:5, we have to multiply all the terms with the number which had reduced it to simplest form and since we don't know that number, we just consider to be x

Now,

Rate of work done by P = 3x

Rate of work done by Q = 4x

Rate of work done by R = 5x

If P,Q and R do the work together then,

Total work done = 3x + 4x + 5x = 12x

∴,Part of total work done by P = \frac{3x}{12x}

12x

3x

=\bold{\frac{1}{4}}

4

1

Answer 2

Answer:

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Step-by-step explanation:

Part of total work done by P = \bold{\frac{1}{4}}

4

1

Step-by-step explanation:

Since ratio of rate of work done is 3:4:5, we have to multiply all the terms with the number which had reduced it to simplest form and since we don't know that number, we just consider to be x

Now,

Rate of work done by P = 3x

Rate of work done by Q = 4x

Rate of work done by R = 5x

If P,Q and R do the work together then,

Total work done = 3x + 4x + 5x = 12x

∴,Part of total work done by P = \frac{3x}{12x}

12x

3x