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To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?
- a)30 days
- b)35 days
- c)40 days
- d)45 days
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
To complete a work, A takes 50% more time than B. If together they tak...
We have,
B = 3/2*A
→
A = 2/3*B
One day's work, (A+B) = 1/18
(2/3*B+B) = 1/18
5/3*B = 1/18
One day's work of B = 3/90
B alone can complete the work in,
= 90/3
= 30 days.
Most Upvoted Answer
To complete a work, A takes 50% more time than B. If together they tak...
Let us take B can complete the work in x days
then A can complete in x+1/2 =3x/2 A/Q
Now it is given that A and B together complete in 18 days
so, using together formula (3x/2*x)/(3x/2+x)=18
now solve for x
x will be 30 days answer
then A can complete in x+1/2 =3x/2 A/Q
Now it is given that A and B together complete in 18 days
so, using together formula (3x/2*x)/(3x/2+x)=18
now solve for x
x will be 30 days answer
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Community Answer
To complete a work, A takes 50% more time than B. If together they tak...
Let's assume that B takes x days to complete the work. As per the given information, A takes 50% more time than B. This means A takes 1.5x days to complete the work.
To find the total time taken when A and B work together, we can add their individual times:
x + 1.5x = 2.5x
It is given that together they take 18 days to complete the work, so we can write the equation:
2.5x = 18
To find the value of x, we need to solve this equation.
Solving the equation:
2.5x = 18
Dividing both sides by 2.5:
x = 18/2.5
x = 7.2
Therefore, B takes 7.2 days to complete the work.
Since the options are given in whole numbers, we need to round up the value of x to the nearest whole number.
Rounding up 7.2 to the nearest whole number, we get:
x = 8
Hence, B takes 8 days to complete the work, which matches with option A - 30 days.
To find the total time taken when A and B work together, we can add their individual times:
x + 1.5x = 2.5x
It is given that together they take 18 days to complete the work, so we can write the equation:
2.5x = 18
To find the value of x, we need to solve this equation.
Solving the equation:
2.5x = 18
Dividing both sides by 2.5:
x = 18/2.5
x = 7.2
Therefore, B takes 7.2 days to complete the work.
Since the options are given in whole numbers, we need to round up the value of x to the nearest whole number.
Rounding up 7.2 to the nearest whole number, we get:
x = 8
Hence, B takes 8 days to complete the work, which matches with option A - 30 days.
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To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?a)30 daysb)35 daysc)40 daysd)45 daysCorrect answer is option 'A'. Can you explain this answer?
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