Latest CTS Aptitude Question SOLUTION: Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finis

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Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?

1) 15 days
2) 18 days
3) 20 days
4) 24 days
5) 28 days

Asked In CTS ABHINAV PUSHPAM (8 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Devendra Marghade  (8 years ago)

3) 20 days

Let the time taken by Ravi to finish the work be 'x' days, then Mohan takes 'x-8' days.
As Mohan and Ravi together can finish the work in 7.5 or 15/2 days, their 1 day work=2/15.
So, 1/x + 1/(x-8)= 2/15
(x-8+x)/[x(x-8)] =2/15
x^2 -23x+60 =0
(x-3)(x-20)=0
as x can't be 3, x=20,

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Diksha Poddar  (7 years ago)

Ans 20.

suppose the work to be done is to shift 120 chairs (multiple of 7.5 and 8)
Then in 1 day mohan n ravi together shifts 120/7.5 = 16 chairs.

now if we take option 1 i.e if Ravi takes 15 days to finish it alone , it means in 1 day he is shifting 120/15 = 8 chairs.
i.e Mohan shifting 16-8=8 chairs. Now it mohan shifts 8 chairs he alone will take 15 days.
20-15 !=8. so this is not correct ans.

now take option 3 i.e 20 days n repeat the above procedure.

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Rahul kumar  (7 years ago)

Ans-20
Suppose ravi will finish work in x days
Mohan take 8 days less than ravi so Mohan can complete in x-8 days

So
1/x+1/x-8=7.5
After solution u will get it x=20

Is this solution Helpfull? Yes (4) | No (1)  

manas roy  (7 years ago)

ans is (3) 20 days.

Is this solution Helpfull? Yes | No (1)  

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