Question

p and q can do a piece of work in 20 days and 30 days respectively. They started the work together and q left after some days of work and P finished the remaining workin 5 days. After how many days from the start did Q leave ?​

Answer 1

Answer:

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Answer 2

Q left the work after 9 days from the beginning.

Given:

P and Q can do a piece of work in 20 days and 30 days respectively. They started the work together and Q left after some days of work and P finished the remaining working 5 days.

To Find:

The days from the start did Q leave.

Solution:

The LCM of 20 and 30 is 60. So the total work is 60 units.

The efficiency of P is $\frac{60}{20}=3\,\,units$.

The efficiency of Q is $\frac{60}{30}=2\,\,units$.

Work done by P and Q together is 5 units in one day.

Work done by P alone in 5 days is

$1day=3 units\\5days=5\cdot 3 units\\=15 units$

Work left is $60-15=45units$.

Together from the start P and Q have done 45 units of work So, number of days they have taken is

$\frac{45}{5}=9days$

Thus, Q left the work after 9 days from the beginning.