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P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
- a)8/15
- b)7/15
- c)11/15
- d)2/11
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
P is able to do a piece of work in 15 days and Q can do the same work ...
Since P to R is double the distance of P to Q,
Therefore, it is evident that the time taken from P to R and back would be double the time taken from P to Q and back (i.e. double of 6.5 hours = 13 hours).
Therefore, it is evident that the time taken from P to R and back would be double the time taken from P to Q and back (i.e. double of 6.5 hours = 13 hours).
Since going from P to R takes 9 hours, coming back from R to P would take 4 hours i.e. 13- 9 = 4
So Option A is correct
Most Upvoted Answer
P is able to do a piece of work in 15 days and Q can do the same work ...
Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 x (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15
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P is able to do a piece of work in 15 days and Q can do the same work ...
Work done by P in one day=1/15 work done by Q in one day=1/20 work done by P and Q together in one day=1/15+1/20=7/60 work done by P and Q in 4 days=4×7/60=7/15 work remaining =1-7/15=8/15
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P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?a)8/15b)7/15c)11/15d)2/11Correct answer is option 'A'. Can you explain this answer?
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