59.
|
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
|
|
|
18 days
|
|
24 days
|
|
|
30 days
|
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36 days
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Answer: Option A
Explanation:
2(A + B + C)'s 1 day's work =
|
|
1
|
+
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1
|
+
|
1
|
|
=
|
15
|
=
|
1
|
.
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30
|
24
|
20
|
120
|
8
|
Therefore, (A + B + C)'s 1 day's work =
|
1
|
=
|
1
|
.
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2 x 8
|
16
|
Work done by A, B, C in 10 days =
|
10
|
=
|
5
|
.
|
16
|
8
|
Remaining work =
|
|
1 -
|
5
|
|
=
|
3
|
.
|
8
|
8
|
A's 1 day's work =
|
|
1
|
-
|
1
|
|
=
|
1
|
.
|
16
|
24
|
48
|
Now,
|
1
|
work is done by A in 1 day.
|
48
|
So,
|
3
|
work will be done by A in
|
|
48 x
|
3
|
|
= 18 days.
|
8
|
8
|
Title : Time And Work Q59
Description : 59. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work toge...
Rating : 5
