Quant Exam > Quant Questions > P can do a work in the same time in which Q a...
Start Learning for Free
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
- a)30 days
- b)25 days
- c)20 days
- d)15 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
P can do a work in the same time in which Q and R together can do it. ...
Let distance between the two places = d km
Let total time taken by faster horse = t hr
⇒ Total time taken by slower horse = (t + 5) hr,
Let total time taken by faster horse = t hr
⇒ Total time taken by slower horse = (t + 5) hr,
Therefore,
speed of the faster horse = d/t km/hr
speed of the slower horse = d/(t + 5) km/hr
The two horses meet each other in 3 hour 20 min i.e. in 3(1/3) hr = 10/3 hr
In this time, total distance travelled by both the horses together is d.
speed of the faster horse = d/t km/hr
speed of the slower horse = d/(t + 5) km/hr
The two horses meet each other in 3 hour 20 min i.e. in 3(1/3) hr = 10/3 hr
In this time, total distance travelled by both the horses together is d.
∴ d/(t+5) * 10/3 + d/t * 10/3 = d
⇒ 10/(3(t+5)) + 10/3t = 1
⇒ 10t + 10(t+5) = 3t(t+5)
⇒ 20t + 50 = 3t2 + 15t
⇒ 3t2 − 5t − 50 = 0
⇒ 3t2 + 10t − 15t − 50 = 0
⇒ t(3t + 10) − 5(3t + 10) = 0
⇒ (3t + 10)(t − 5) = 0
⇒ t = 5 (ignoring -ve value)
⇒ 10/(3(t+5)) + 10/3t = 1
⇒ 10t + 10(t+5) = 3t(t+5)
⇒ 20t + 50 = 3t2 + 15t
⇒ 3t2 − 5t − 50 = 0
⇒ 3t2 + 10t − 15t − 50 = 0
⇒ t(3t + 10) − 5(3t + 10) = 0
⇒ (3t + 10)(t − 5) = 0
⇒ t = 5 (ignoring -ve value)
Thus, Total time taken by slower horse = 5 + 5 = 10 hr
So Option B is correct
Most Upvoted Answer
P can do a work in the same time in which Q and R together can do it. ...
Work done by P and Q in 1 day = 1/10
Work done by R in 1 day = 1/50
Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as
Work done by P in 1 day * 2 = 6/50
=> Work done by P in 1 day = 3/50
=> Work done by Q and R in 1 day = 3/50
Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25
So Q alone can do the work in 25 days
Free Test
FREE
| Start Free Test |
Community Answer
P can do a work in the same time in which Q and R together can do it. ...
Given:
- Two cars started simultaneously towards each other and met each other 3 h 20 min later.
- The first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first.
To Find: How much time will it take the slower car to cover the whole distance.
Let's assume:
- The distance between the two cars is 'd'.
- The speed of the faster car is 'x' km/hr.
- The speed of the slower car is 'y' km/hr.
Calculations:
- As both cars started simultaneously towards each other, the relative speed between them is (x+y) km/hr.
- They met each other 3 h 20 min later, which is 10/3 hours.
- Therefore, the total distance covered by both cars = (x+y) * 10/3 = 10(x+y)/3 km.
- Let's assume the slower car covered the distance 'd' in 't' hours.
- So, the faster car covered the distance 'd' in (t-5) hours.
- Distance = Speed * Time
- Therefore, d = y * t (for the slower car) and d = x * (t-5) (for the faster car)
- From the above equations, we can equate both distances, i.e. y * t = x * (t-5)
- Solving the above equation, we get t = 10 hours.
Therefore, the slower car took 10 hours to cover the whole distance. Hence, the correct answer is option 'B'.
- Two cars started simultaneously towards each other and met each other 3 h 20 min later.
- The first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first.
To Find: How much time will it take the slower car to cover the whole distance.
Let's assume:
- The distance between the two cars is 'd'.
- The speed of the faster car is 'x' km/hr.
- The speed of the slower car is 'y' km/hr.
Calculations:
- As both cars started simultaneously towards each other, the relative speed between them is (x+y) km/hr.
- They met each other 3 h 20 min later, which is 10/3 hours.
- Therefore, the total distance covered by both cars = (x+y) * 10/3 = 10(x+y)/3 km.
- Let's assume the slower car covered the distance 'd' in 't' hours.
- So, the faster car covered the distance 'd' in (t-5) hours.
- Distance = Speed * Time
- Therefore, d = y * t (for the slower car) and d = x * (t-5) (for the faster car)
- From the above equations, we can equate both distances, i.e. y * t = x * (t-5)
- Solving the above equation, we get t = 10 hours.
Therefore, the slower car took 10 hours to cover the whole distance. Hence, the correct answer is option 'B'.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer?
Question Description
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer?.
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer?.
Solutions for P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it ina)30 days b)25 daysc)20 daysd)15 daysCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup