Question

26. The ratio of rates of doing work of P, Q and R is 3:4:5. If they completed a job working together, what part of it did P complete? a) ¼ b) 20/47 c) 1/3 d) None of these

Answer 1

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

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 = $\frac{3x}{12x}$

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