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
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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.
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