There is no Royal Road to Geometry
Euclid
maths and life is same,because both contains lots of problems
saranya rajan
Correct Answer:
B) \( \Large 6\frac{2}{3} \) days |
Description for Correct answer:
If B alone completes the Work in x days,A will do the same 2 days. \( \Large \therefore \left(A + B\right)'s 1 \ days's \ work \)\( \Large = \frac{1}{x} + \frac{1}{2x} = \frac{2 + 1}{2x} = \frac{3}{2x} \)\( \Large \therefore C's ! \ days \ work = \frac{3}{4x} \)\( \Large \therefore \frac{3}{4x} = \frac{1}{20} \)\( \Large => 4x = 3 \times 20 \)\( \Large => x = \frac{3 \times 20}{4} = 15 \)\( \Large \therefore \left(A + B + C\right)'s \ 1 \ days \ work \)\( \Large = \frac{1}{2x} + \frac{1}{x} + \frac{3}{4x} = \frac{1}{30} + \frac{1}{15} + \frac{1}{20} \)\( \Large =\frac{2 + 4 + 3}{60} = \frac{9}{60} = \frac{3}{20} \)
\( \Large =\frac{20}{3} = 6\frac{2}{3}days \)
Part of solved SSC CGL-3 questions and answers : Exams >> SSC Exams >> SSC CGL-3
Comments
Similar Questions
Free
10 Questions 10 Marks 10 Mins
Given:
A = 50% more efficient than B
C = 1/2 of work done by A and B together
C alone can do the work in = 40 days
Calculation:
(A’s one day’s work) : (B’s one day’s work)
⇒ 150 : 100
⇒ 3 : 2
Let A’s one day’s work be 3x and B’s one day’s work be 2x.
∴ According to the question
C’s one day’s work = (3x + 2x)/2
⇒ 5x/2 = 1/40
⇒ x = (1/40) × 2/5
⇒ x = 1/100
A’s one day’s work be 3/100 and B’s one day’s work be 1/50.
∴ (A + B + C)’s one day’s work:
⇒ 3/100 + 1/50 + 1/40
⇒ 15/200
⇒ 3/40 = (A + B + C)'s one day work
A, B, C can complete the whole work in 40/3 days.
∴ A, B, and C can complete the work in 40/3 days.
Ace your Time and Work preparations for Work Efficiency with us and master Quantitative Aptitude for your exams. Learn today!
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Get Started for Free Download App
Trusted by 3.3 Crore+ Students