A can do a piece of work in 24 days while B can do it in 30 days. In how many days can they complete
it, if they work together?
Answers
Answered by
0
Answer:
Let total works =x
A takes 24 days to complete x
⇒ In one day a complete work =
24
x
B completes x works in 30 days
⇒ In 1 day B completes work =
30
x
If A and B work together,
work done in one day =
24
x
+
30
x
=
120
5x+4x
=
120
9x
=
40
3x
Let they take n days to complete entire work.
⇒ Total work =n×
40
3x
=x
⇒n=
3
40
days
Answered by
1
Answer:
Rajan can in 24 days finish the full work i.e 100% or 1 of it.
∴ Rajan can in 1 day finish 1/24th of the work.
Amit can in 30 days finish the full work i.e 100% or 1 of it.
∴ Amit can in 1 day finish 1/30th of the work.
Therefore amount of work both of them can do in 1 day
= 1/24+1/30
= 24+30/720
= 54/720
= 3/40
Therefore time taken by them = 1/(3/40) = 40/3 = 13 1/3 days
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