Amar alone can complete 12.5% of a work in 2days and Raghu alone can complete the whole work in 16 days . if both work together.in how many days can they complete the whole work
Answers
QUESTION :-
Amar alone can complete 12.5% of a work in 2days and Raghu alone can complete the whole work in 16 days . if both work together.in how many days can they complete the whole work
ANSWER :-
A’s 1 day work= 16
1 units
B’s 1 day work= 12
1 units
⇒ As they are working on alternate day's
So their 2 days work=( 161 )+( 121 )
= 48
7 units
[here is a small technique, Total work done will be 1, right, then multiply numerator till denominator, as 7×6=42,7×7=49,as7×7 is more than 48, so we will consider 7×6, means 6 pairs ]
Work done in 6 pairs=6×( 487 )= 8
42 units=12days
Remaining work=1− 8
7 = 8
On 13th day it will A turn,
16
1 work done by A in 1 day
then remaining work=( 81 )−( 161 )= 16
On 14th day it is B turn,
12
work done by B in 1 day
work will be done in (12× 161 )= 43
day
∴ total days=12+1+
43
=13
4/3 days
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Answer:
ANSWER
Solution
A’s 1 day work=
16
1
units
B’s 1 day work=
12
1
units
⇒ As they are working on alternate day's
So their 2 days work=(
16
1
)+(
12
1
)=
48
7
units
[here is a small technique, Total work done will be 1, right, then multiply numerator till denominator, as 7×6=42,7×7=49,as7×7 is more than 48, so we will consider 7×6, means 6 pairs ]
Work done in 6 pairs=6×(
48
7
)=
8
42
units=12days
Remaining work=1−
8
7
=
8
1
On 13th day it will A turn,
16
1
work done by A in 1 day
then remaining work=(
8
1
)−(
16
1
)=
16
1
On 14th day it is B turn,
12
1
work done by B in 1 day
16
1
work will be done in (12×
16
1
)=
4
3
day
∴ total days=12+1+
4
3
=13
4
3
days
Hence, the correct answer is none of these