Question

p,q,r complete the work in 12,15,25 days they received , Rs.13500 for the completion of work .p and q started the work together but after 2 days q left the work and p left 7days before the completion of the work the remaining work done by hr in 5 days.then find the share​

Answer 1

Answer:

The shares are 7200, 1800 and 6500

Step-by-step explanation:

Let total amount of work be 300 units (LCM of 12,15,25).

Then Work done to complete the task of 300 units by p, q ,r each day is 25 units/day , 20 units/day, 12 units/day respectively.

now p+q = 45 units/ day

for 2 days 90 units of work done by p and q

Now lets take the last case for convenience, r completes the work left in 5 days,

So 12 * 5 = 60 units done by r.

Remaining work = 300- (90+60) = 150 units

This was completed by p by working 25 units/ day

so time taken by p to complete 150units of work = 150 / 25 = 6 days.

Therefore, number of days worked by p, q, r are (2+6), 2 and 5 days.

Therefore share of p = $\frac{8}{8+2+5} * 13500 = \frac{8}{15} * 13500 = 7200$

Share of q = $\frac{2}{8+2+5} * 13500 = \frac{2}{15} * 13500 = 1800$

Share of r = 13500 - (7200+1800) = 6500

So the shares are 7200, 1800 and 6500