lA , B and C can do a piece of work in 15 , 12 ,and 20 days respectively . They started the work together , but C left after 2 days . In how many days will the remaining work be completed by A and B?
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4 days
Step-by-step explanation:
LET,
THE WORK DONE BY A IN ONE DAY
=1/15
THE WORK DONE BY B IN ONE DAY
=1/12
THE WORK DONE BY C IN ONE DAY
=1/20
SINCE THEY STARDED AND DONE SOME WORK TOGETHER FOR 2 DAYS, THE AMOUNT OF WORK THEY COMPLETE WILL BE
= 2(1/15 +1/12+1/20)
= 2/5
SO, REMAINING WORK WILL BE=3/5
TIME TAKEN BY A AND B TO COMPLETE REMAINING WORK
(1/15+1/12)n= 3/5
(9/60) n = 3/5
n=4
THERE FORE NO. OF DAYS IN WHICH A and B
COMPLETE REMAINING WORK IS """4 DAYS""
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