P can do a work in the same time in which Q and R together can do it. If P and Q

Sail E0 Webinar

Question

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__________?

Options:

A . 30 days

B . 25 days

C . 20 days

D . 15 days

Answer: Option B
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

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how....many bottles could 10 such machines produce in 4 minutes?

Question 2. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and ....5 men and 10 women need to complete the work?

Question 3. A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minu....hrs. The capacity of the tank in liters is_________?

Question 4. A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?....in 20 days. A alone can do the work in__________?

Question 5. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio betw....ratio between the capacity of a man and a woman.

Question 6. If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 3....plough 32 same identical fields working 8 hours a day?

Question 7. A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, th....days only. Then, C alone can do the job in_________?

Question 8. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The rat....between the capacity of a man and a woman is_________?

Question 9. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of th....be completed in________days if all of them are working together.

Question 10. Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opene....so that the tank is full in 9 min ?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

ICA Combined 1 Free Revision Test SAIL JO E-0

RDIC Review Test SAIL JO E-0

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

RSP Combined 1 Free Revision Test SAIL JO E-0