RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > Pcan finish a work in15days. In how many days...
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P can finish a work in 15 days. In how many days can P and Q together complete the job if Q is twice as fast as P?
- a)3 days
- b)5 days
- c)2 days
- d)6 days
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Pcan finish a work in15days. In how many days canPandQtogether complet...
P can complete job in 15 days so in 1 day P completes 1/15 amount work.
Q is twice as fast as P. So Q takes half the time as P that means 15/2 days.
In one day, Q does (1/(15/2)) = 2/15 amount of work.
Then both work together,
In one day work done together = P's one day work + Q's one day work.
∴ Work done
If in one day they finish 1/5 work then entire work is done in 5 days.
Q is twice as fast as P. So Q takes half the time as P that means 15/2 days.
In one day, Q does (1/(15/2)) = 2/15 amount of work.
Then both work together,
In one day work done together = P's one day work + Q's one day work.
∴ Work done
If in one day they finish 1/5 work then entire work is done in 5 days.
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Community Answer
Pcan finish a work in15days. In how many days canPandQtogether complet...
Understanding P's Work Rate
P can finish a work in 15 days. This means P's work rate is:
- Work Rate of P = 1 job / 15 days = 1/15 jobs per day.
Determining Q's Work Rate
Since Q is twice as fast as P:
- Work Rate of Q = 2 * (1/15) = 2/15 jobs per day.
Combined Work Rate of P and Q
When P and Q work together, their combined work rate is:
- Combined Work Rate = Work Rate of P + Work Rate of Q
- Combined Work Rate = (1/15) + (2/15) = (3/15) = 1/5 jobs per day.
Calculating the Time Taken Together
To find out how many days P and Q together can complete the job:
- Time Taken = 1 job / (1/5 jobs per day) = 5 days.
Conclusion
Thus, P and Q together can complete the job in 5 days, which corresponds to option 'B'.
P can finish a work in 15 days. This means P's work rate is:
- Work Rate of P = 1 job / 15 days = 1/15 jobs per day.
Determining Q's Work Rate
Since Q is twice as fast as P:
- Work Rate of Q = 2 * (1/15) = 2/15 jobs per day.
Combined Work Rate of P and Q
When P and Q work together, their combined work rate is:
- Combined Work Rate = Work Rate of P + Work Rate of Q
- Combined Work Rate = (1/15) + (2/15) = (3/15) = 1/5 jobs per day.
Calculating the Time Taken Together
To find out how many days P and Q together can complete the job:
- Time Taken = 1 job / (1/5 jobs per day) = 5 days.
Conclusion
Thus, P and Q together can complete the job in 5 days, which corresponds to option 'B'.
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