Latest Elitmus Aptitude Question SOLUTION: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Options 1) 8/15 2) 7/15

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P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?

Options
1) 8/15
2) 7/15
3) 11/15
4) 2/11

Asked In Elitmus sindhu s (9 years ago)

Unsolved Read Solution (19)

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Read Solution (19) :

kumari komal  (8 years ago)

p=1/15, q=1/20
togethr 4 days work=4*(1/15+1/20)=7/15
fraction of work left is=1-7/15=8/15
ans is 1

Is this solution Helpfull? Yes (17) | No   

swapnil suman  (8 years ago)

not a level of elitmus question

Is this solution Helpfull? Yes (8) | No   

prem kishor  (8 years ago)

both can complete the work in = 20*15/35=60/7

so, in 60/7 they can complete the work together.
then in 4 days they can complete the work ( 7/60)*4= 7/15
then,left work= 1-(7/15)= 8/15

Is this solution Helpfull? Yes (5) | No   

kundan prasad  (8 years ago)

Ans:1)8/15
work done together in 4 day is
=4*(1/15+1/20)
=7/15
so left work is (1-7/15)=8/1

Is this solution Helpfull? Yes (2) | No (1)  

Abhishek Kumar  (8 years ago)

P=15 Q=20
LCM OF (P,Q)= 60
P does 4 unit of work and Q can do 3 unit of work in a day..
working together for 4 days fraction of job completed 7x 4=28
remaining work 60-28=32
fraction of work left= 32/60=8/15

Is this solution Helpfull? Yes (1) | No   

hanendra  (8 years ago)

p's one day work=1/15
Q's 1 day work=1/20
p+Q one day work= 1/15 +1/20=7/15
remaining=1-7/15=8/15

Is this solution Helpfull? Yes (1) | No (1)  

aaditya dwivedi  (8 years ago)

by fraction method
A -> 1/15
B -> 1/20
THEY DO THE WORK 4 DAYS TOGETHER
SO, 4/15 + 4/20
4/15+ 1/5
= 7/15(WORK DONE)
WORK LEFT = 1-7/15
=> 8/15
SO, THE ANSWER IS A) 8/15

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Arvind kumar yadav  (8 years ago)

Right Ans is 8/15

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Jyoti Kumari  (8 years ago)

LCM(15,20)=60
therefore total work=60 units
one day work of P=60/15=4 units
one day work of Q=60/20=3 units
After 4 days amount of work done= 4*(4+3)=28
therefore remaining work=28/60=8/15 Answer

Is this solution Helpfull? Yes (1) | No   

Samruddhi Dabir  (8 years ago)

P's 1 day work=1/15
Q's 1 day work=1/20
Therefore, (P+Q)'s 1 day work=1/15+1/20=7/60
Their 4 days work=7/60*4=7/15
Thus, remaining work=1-7/15=8/15
Ans:option 1

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Minal N Patil  (8 years ago)

ans:option (1)

work done by P in 1 day=1/15.
work done by Q in 1 day=1/20.
Total work done by P and Q in 1 day=1/15+1/20=7/60.
Thus in 4 days,work done=4*7/60=7/15.
Work left=1-7/15=8/15.

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bhasker gupta  (8 years ago)

work done by p in 1 day=6.67%
work done by q in 1 day=5%
so work done by both in 4 days=46.68%
work left is= 53.32%
53.32% in fraction is same as 8/15

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kundan prasad  (8 years ago)

Ans :1) 8/15

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kundan prasad  (8 years ago)

Ans: 1) 8/15

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Ramya   (8 years ago)

Option 2
p work per day=1/15
Q work per day=1/20
total work of P and Q is (7/60)*4

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Nandan Kumar  (8 years ago)

ans= 8/15

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praveendas  (8 years ago)

(1/15+1/20)*4=8/15

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gokul  (8 years ago)

Ans is 8/15

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rajat bhawsar  (7 years ago)

ans is 8/15
now take lcm of both's working days is 60 i.e. they do 60 unit work together.
here 4 unit work and 3 unit work is done by a and b respectively in one day.
so they do 5 unit work regularly
in 4 days they will completete (4*7)unit work and the left work is here is (60-28)=32
so the fraction of the left work is =left work/total work=32/60
so the ans is 8/15

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