Question
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
Answer: Option D
WORK DONE BY P IN 1 DAY = 1/23
LET WORK DONE BY Q IN 1 DAY = Q
Q × (130/100) = 1/23
=> Q = 100/(23×130) = 10/(23×13)
WORK DONE BY P AND Q IN 1 DAY = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P AND Q TOGETHER CAN DO THE WORK IN 13 DAYS
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WORK DONE BY P IN 1 DAY = 1/23
LET WORK DONE BY Q IN 1 DAY = Q
Q × (130/100) = 1/23
=> Q = 100/(23×130) = 10/(23×13)
WORK DONE BY P AND Q IN 1 DAY = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P AND Q TOGETHER CAN DO THE WORK IN 13 DAYS
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