1800-150-456-789
FlagBACK
Flag Discuss with colleagues and IITians> general ability...
question mark

A takes 5 days more than B to do a certain job and 9 days more than C; A and B together can do the job inthe same time as C. Then A alone can do the job in

Vikas TU , 14 Years ago
Grade 12th Pass
anser 1 Answers
Mayank Jain

Last Activity: 14 Years ago

Let the day taken by C alone be n

so in one day work done by C=1/n

Time taken by A to do the same work = n+9 days

so in one day work done by A=1/n+9

Also A and B can together do the work in same time as C

so work done in one day by A and B together = work done by C in one day=1/n

let work done by B in one day be b

so 1/n=b+(1/n+9)

so b=9/n(n+9)

 

Hence B takes n(n+9)/9 days to finish the work alone.

According to Question days taken by A alone = days taken by B alone +5

so n+9=n(n+9)/9+5

solving this n2=36 and n=6 days

Hence A alone can do the job in n+9=6+9=15 days time

 

Please approve if correct.

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on discuss with colleagues and iitians

question mark
Are core branches(Mechanical) in Top 3 NIT worth it ?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 2 Years ago

question mark
My rank in JEE Advanced 2022 is 1871. Should I go for IIT Guwahati ECE or IIT Kanpur Mechanical and try for a branch change to CS or Electrical Engineering? Is changing your branch very difficult?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 2 Years ago

question mark
What awaits me after jee and do you think it's worth it?
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago

question mark
Can i sacrifice board exams for jee mains as board exams are no where valueable as cuet and other will be seen for admission
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago

question mark
Is a student studying in IGCSE syllabus eligible for taking IOQP or IOQJS?
discuss with colleagues and iitians
0 Answer Available

Last Activity: 2 Years ago