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Byju's Answer
Standard VII
Mathematics
Time and Work
Suppose A i...
Question
Suppose
A
is twice as good a workman as
B
and together they can finish a job in
24
days. How many days
A
alone takes to finish the job?
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Solution
A
is twice a good workman as
B
∴
B
=
2
A
It is given that
A
and
B
together can finish the job in
24
days.
∴
1
A
+
1
B
=
1
24
Substituting
B
=
2
A
we get
∴
1
A
+
1
2
A
=
1
24
⇒
2
+
1
2
A
=
1
24
Taking LCM
⇒
3
2
A
=
1
24
Cross multiplying we get,
⇒
3
∗
24
=
2
A
⇒
A
=
72
2
⇒
A
=
36
Therefore
A
alone can finish the work in
36
days.
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