Quantitative Aptitude | Time and Work

Question of The Day11-05-2020

A and B starts working on a project such that they work on it in alternate months starting from B. The work gets completed in $19 {1 \over 5}$ months. If A alone can complete the project in 23 months, then in how many months B alone can complete the work?

Answer

Correct Answer : b ) $16 {2 \over 3}$

Explanation :

As total work gets completed in $19 {1 \over 5}$ months and B started doing the work for first month

So, Number of months B had worked upon the project = 10 months

And, Number of months A had worked upon the project will be

$=19 {1 \over 5} -10=19-10+15=9 {1 \over 5}$ months

A alone can complete the project in 23 months

Part of work completed by A in 1 month = ${1 \over 23}$

Part of work completed by A in 915 month = $ {1 \over 23}*(9 {1 \over 5})={1 \over 23} * {46 \over 5}={2 \over 5}$

Now, remaining work = $1- {2 \over 5}= {3 \over 5}$

Therefore, $( {3 \over 5})$^th of the work is completed by B in 10 months

So, total work is completed by B in=$10* {5 \over 3}= {50 \over 3}=16 {2 \over 3}$months

Hence, (b) is the correct answer.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS etc.

Read Daily Current Affairs, Banking Awareness, Hindi Current Affairs, Word of the Day, and attempt free mock tests at PendulumEdu and boost your preparation for the actual exam.

0 LIKES

COMMENTS

Comments

Share QOTD

Current-Affairs

Attempt Daily Current
Affairs Quiz

Attempt Quiz

Jan 29

Word Of The Day

Hamper

Noun: A large basket with a cap or cover, used for storing or transporting goods.; A large basket used to carry food items or other articles used to give someone as a present.

Verb: To hold back or interfere.; If someone or something hampers someone or something, it means they are making something difficult or interfering with something you are trying to do.