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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).
Since going from P to R takes 9 hours, coming back from R to P would take 4 hours i.e. 139 = 4
So Option A is correct
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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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Community Answer
P is able to do a piece of work in 15 days and Q can do the same work ...
Given:
- Q lies in between P and R such that it is equidistant from both P and R.
- Time taken for boat to go from P to Q and back = 6 hours 30 minutes
- Time taken for boat to go from P to R = 9 hours

To find: Time taken for boat to go from R to P

Solution:
1. Let the distance between P and Q be x. Then, the distance between Q and R is also x.
2. Let the speed of the boat be y km/hour.
3. Time taken for boat to go from P to Q = x/y
4. Time taken for boat to go from Q to P = x/y
5. Time taken for boat to go from P to Q and back = 2x/y = 6.5 hours (given)
6. Therefore, x/y = 3.25 hours
7. Time taken for boat to go from P to R = 9 hours
8. Distance between P and R = 2x
9. Time taken for boat to go from R to P = Distance between P and R / Speed of the boat
10. Time taken for boat to go from R to P = 2x/y = (2*3.25)y = 6.5 hours
11. Therefore, the answer is 4 hours (Option A)

Hence, the time taken for boat to go from R to P is 4 hours.
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