Question

P can complete a job in 9 days and q in 10 days and r in 15 days. Q and r started the work and were forced to leave after 3 days find time taken by p to complete the remaining work

Answer 1

Step-by-step explanation:

P-9 days

Q-10 days

R- 15 days

total work= LCM (9,10,15)=90

work done in a day by P=90/9=10.

work done in a day by Q=90/10=9.

work done in a day by R=90/15=6.

All worked for 3 days together, so work done by them in 3 days

=(10+9+6)×3

=25×3

=75.

Now, q and r left and work left=90-75=15,

which will be done by p.

so, time taken to complete the left work

= left work/ work done by p in a day

=15/10

=1.5 days.