Math, asked by ankithabs20, 2 months ago

A and B take 10 hours to do a job working together.
B and C, working together, take 15 hours while A and
C take 20 hours to do the same job. How long would
each of them take to do the job if they worked alone?

plz explain
The answers are
A=24 h
B= 17½ h
C=120 h
please explain it step vise

Answers

Answered by Sagar9040
0

Given:

A and B take 10 hours to do a job working together B and C working together take 15 hours while a and c take 20 hours to do the same job

To find:

How long would reach of them take to do the job if they work alone​?

Solution:

A and B together can do a job in 10 hours

So, In 1 hr A and B will do =  =

B and C together can do a job in 15 hours

So, In 1 hr B and C will do =  =

A and C together can do a job in 20 hours

So, In 1 hr A and C will do =  =

∴ In 1 hr A, B & C together will do,

Now,

∴ In 1 hr C alone will do,

=

=

=

=

∴ In 1 hr A alone will do,

=

=

=

=

=

∴ In 1 hr B alone will do,

=

=

=

=

Thus, each of them would take the following time to do the job alone:

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