Quantitative Aptitude - A work is done by two people in 24 min. one of them can do this work a lonelyin 40 min. how mu

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A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

In 1 minute (A+B) can do 1/24 work. A alone can 1/40 work in 1 minute

B alone can do in 1 minute = (A+B)’s – A’s = 1/24 – 1/40 = 1/60 work

Therefore, b can do the same work in = 60 min

Total Answers and Comments: 9

Last Update: July 08, 2009

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Submitted by: sriram krishnamoorthi

let A does the work in 40 mins (given)

let B does the work in x mins

amt of work done by A in 1 min = 1/40

amt of work done by B in 1 min = 1/x

amt of work done jointly by both A & B = 1/24

which implies (1/40)+(1/x) = (1/24)

on solvin the above eqn. for x we get

x = 60

Above answer was rated as good by the following members:
Sriroshika

September 27, 2005 04:22:37

Amit Kularkar

RE: A work is done by two people in 24 min. one of the...

if x is time required by person B then time required to do a job together will be [(40*x)/(40+x)] 24.hence on solving we get x 60

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March 07, 2006 00:53:28

gud_guy2006

Member Since: March 2006 Contribution: 2

RE: A work is done by two people in 24 min. one of the...

Plaese tell me the formula u used on solving in detail.How to know this formulaes use?ie (40*x)/(40+x) 24

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March 18, 2006 14:55:31

hardeep singh

RE: A work is done by two people in 24 min. one of the...

sol- p 40p*q / (p+q) 24;40*q / (40+q) 24; > q 60 min.

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March 30, 2006 12:27:52

sriram krishnamoorthi

RE: A work is done by two people in 24 min. one of the...

let A does the work in 40 mins (given)

let B does the work in x mins

amt of work done by A in 1 min 1/40

amt of work done by B in 1 min 1/x

amt of work done jointly by both A & B 1/24

which implies (1/40)+(1/x) (1/24)

on solvin the above eqn. for x we get

x 60

Is this answer useful? Yes | No

1 0

Overall Rating: +1

February 18, 2007 08:18:40

SharnCedar

RE: A work is done by two people in 24 min. one of the...

Was this a real question at an interview? Was this for Indian offshore programmers or who? It is a funny question it seems the interviewer is not a professional or has no IT experience. Because work done in 40 minutes by one person is done in about 3 or 4 hours by 2 people (rule of thumb from many yars experience) they must create an inteface point to share the work. Here's the analysis:

1 person writing a module of code must write 1 API (interface to existing code ) and 1 module.

Two people writing code together must write 4 API's (programmer A writes and interface to existing code and to programmer B's code B defines two interfaces as well) and 2 code modules. The code modules are not necessarily "smaller" because code is often not easy to break into two pieces. For example how to divide up the work for writing a single loop?

So the total work is up to 5 times greater. Any saving of time is made in the dividing of the coding of modules itself this will only be significant on a very large piece of work certainly something much muvh bigger than a 40 minute piece of work.

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June 08, 2008 04:41:57

ratheesh69

Member Since: June 2008 Contribution: 2

RE: A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

(a+b)'s 1min work 1/24
a's 1min wrk 1/40
thrfr b's 1min wrk (a+b)-a (1/24)-1/40 1/60

b can do a wrk in 60 mins

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July 07, 2009 00:55:29

bharathfeb

Member Since: July 2009 Contribution: 5

RE: A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

A & B can do the work in 24 mins

A can do the same work alone in 40 mins

let B can do the same work alone in 'b' mins

> 1/40 + 1/b 1/24

> 1/b 1/24 - 1/40

> 1/b 1/60

> b 60

Therefore B can do the same work in 60 mins

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July 07, 2009 01:56:05

bharathfeb

Member Since: July 2009 Contribution: 5

RE: A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

Let A does a work in 40 mins [Given]

> work done by A in 1 min 1/40

Let B can do the same work in 'b' mins

> work done by B in 1 min 1/b

Then work done by A & B in 1 min 1/40 + 1/b

A & B does the same work in 24 mins [Given]

> work done by A & B in 1 min 1/24

So 1/40 + 1/b 1/24

By solving the above eq we get b 60

Therefore B does the work in 60 mins

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July 08, 2009 00:47:49

bharathmarri

Member Since: July 2009 Contribution: 3

RE: A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person.

Let A can do a work alone in 40 mins [Given]

> amt of work done by A in 1 min 1/40

Let B can do the same work alone in 'b' mins

> amt of work done by B in 1 min 1/b

then amt of work done by A & B in 1 min 1/40 + 1/b ---> 1

A & B can do the same work in 24 mins [Given]

> amt of work done by A & B in 1 min 1/24 ---> 2

From 1 & 2

1/40 + 1/b 1/24

by solving the abv eq we get b 60

Therefore B can do the same work in 60 mins

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