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
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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