Question Detail
A alone can complete a work in 16 days and B alone can do in 12 days. Starting with A, they work on alternate days. The total work will be completed in
- \begin{aligned} 13\frac{1}{4} \end{aligned}
- \begin{aligned} 13\frac{1}{2} \end{aligned}
- \begin{aligned} 13\frac{3}{4} \end{aligned}
- \begin{aligned} 13\frac{4}{4} \end{aligned}
Answer: Option C
Explanation:
A's 1 day work = 1/16
B's 1 day work = 1/12
As they are working on alternate day's
So their 2 days work = (1/16)+(1/12)
= 7/48
[here is a small technique, Total work done will be 1, right, then multiply numerator till denominator, as 7*6 = 42, 7*7 = 49, as 7*7 is more than 48, so we will consider 7*6, means 6 pairs ]
Work done in 6 pairs = 6*(7/48) = 7/8
Remaining work = 1-7/8 = 1/8
On 13th day it will A turn,
then remaining work = (1/8)-(1/16) = 1/16
On 14th day it is B turn,
1/12 work done by B in 1 day
1/16 work will be done in (12*1/16) = 3/4 day
So total days =
\begin{aligned} 13\frac{3}{4} \end{aligned}
It may be a bit typical question, but if are not getting it in first try then give it a second try. Even not, then comment for explanation for this. We will be happy to help you.
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mylan murugesan 8 years ago
in the first question,why we have to do the sum till 14th turn???
please explain -
job seeker 8 years ago
in first question till 3/4 is clear bt howcome 13 3/4 is coming
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Nirmal Epaenetu Parusu 8 years ago
iam unable to understand the 1st one can u plz explain it elaborately???
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Nirmal Epaenetu Parusu 8 years ago
can u plz explain it elaborately?
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Sourav Sekhar Mohanty 9 years ago
i cant understand the question .please any one help me
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Shrinivas Rao 9 years ago
a) A sum of money invested at C.I payable yearly amounts to Rs. 10,816 at the end of the second year and to Rs. 11,284.64 at the end of the third year. Find the rate of intrest and the sum
B) The C.I on a certain sum of money for two years is Rs. 920.25 and the simple is Rs.900. Find the sum and the rate of intrest.
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Shrinivas Rao 9 years ago
A person sells a 20% stock of face value Rs. 5,000 at a premium of 62% with the money obtained he buys a 15% stock at a discount of 22%. What is the changes in his income (Brokerage 2%)
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Shrinivas Rao 9 years ago
A and B can do a work in 6 days, A and C in 5n half days. B and C in 4 days, in how many days A alone can do it???
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anu 11 years ago
sory 2 say bt i didnt get it.
i understood d steps til ,trick
my email id:[email protected]
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yashasvi 11 years ago
I am unable to understand this explanation