A completes 80% of a work in 20 days. Then B also joins and A and B together fin

Sail E0 Webinar

Question

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

Options:

A . 37 ½ days

B . 22 days

C . 31 days

D . 22 days

Answer: Option A
WORK DONE BY A IN 20 DAYS = 80/100 = 8/10 = 4/5
WORK DONE BY A IN 1 DAY = (4/5) / 20 = 4/100 = 1/25 — (1)
WORK DONE BY A AND B IN 3 DAYS = 20/100 = 1/5 (BECAUSE REMAINING 20% IS DONE IN 3 DAYS BY A AND B)
WORK DONE BY A AND B IN 1 DAY = 1/15 —(2)
WORK DONE BY B IN 1 DAY = 1/15 – 1/25 = 2/75
=> B CAN COMPLETE THE WORK IN 75/2 DAYS = 37 ½ DAYS

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fil....tank, if the capacity of each bucket is 9 litres?

Question 2. A leak in the lower portion of a tank can empty the full tank in 9 hrs. An inlet pipe fills water at the rtae of 10 lit....hrs. How many litres does the cistern hold ?

Question 3. A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complet....they take 6 days to complete the work. Find X

Question 4. A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can....both A and B together can do the work ?

Question 5. P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can fini....will be needed if P and R together do it?

Question 6. A tap can fill a tank in 32 min. and another can empty it in 16 min. If the tank is already half full and both the tank....both the tanks are opened together, the tank will be_________?

Question 7. 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 complete....the same work. then Q alone can do it in__________?

Question 8. 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 9. 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 10. 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_________?

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