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50 people can do 1/4th of work in 20 days working 4 hrs each day. How many people need to be joined in order to complete the work in 40 days working same number of hours as before?
- a)75
- b)50
- c)20
- d)25
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
50 people can do 1/4th of work in 20 days working 4 hrs each day. How ...
D) 25
Explanation: M1*D1*H1*W2 = M2*D2*H2*W1
50*20*4*(3/4) = (50+x)*40*4*(1/4) Solve x = 25
Explanation: M1*D1*H1*W2 = M2*D2*H2*W1
50*20*4*(3/4) = (50+x)*40*4*(1/4) Solve x = 25
Most Upvoted Answer
50 people can do 1/4th of work in 20 days working 4 hrs each day. How ...
Given:
- 50 people can do 1/4th of the work in 20 days.
- They work for 4 hours each day.
To find:
- The number of people needed to complete the work in 40 days, working the same number of hours each day.
Solution:
We can start by finding the work done by 50 people in 20 days.
Work done by 50 people in 20 days:
- Let's assume the total work is represented by 'W'.
- 50 people can do 1/4th of the work in 20 days.
- So, the work done by 50 people in 20 days = (1/4)W
Now, let's find the work done by 50 people in 1 day.
Work done by 50 people in 1 day:
- Since 50 people can do (1/4)th of the work in 20 days, they can do 1 day's work in (20 * 4) = 80 hours.
- So, the work done by 50 people in 1 day = (1/80)W
To find the number of people needed to complete the work in 40 days, we need to consider the total work to be done and the time taken by these people.
Total work to be done:
- The total work is represented by 'W'.
Time taken:
- They need to complete the work in 40 days.
- They work for 4 hours each day.
- So, the total time taken by them = (40 * 4) = 160 hours.
Now, let's find the number of people needed to complete the work in 40 days.
Number of people needed:
- We can use the concept of the work done by each person being the same.
- The work done by 50 people in 1 day = (1/80)W
- Let's assume 'x' is the number of people needed to complete the work in 40 days.
- The work done by 'x' people in 1 day = (1/x)W
- Since the work done by each person is the same, we can equate the work done by 50 people in 1 day to the work done by 'x' people in 1 day.
- (1/80)W = (1/x)W
- Cross-multiplying, we get:
x = 80
Therefore, 80 people need to be joined in order to complete the work in 40 days, working the same number of hours as before.
- 50 people can do 1/4th of the work in 20 days.
- They work for 4 hours each day.
To find:
- The number of people needed to complete the work in 40 days, working the same number of hours each day.
Solution:
We can start by finding the work done by 50 people in 20 days.
Work done by 50 people in 20 days:
- Let's assume the total work is represented by 'W'.
- 50 people can do 1/4th of the work in 20 days.
- So, the work done by 50 people in 20 days = (1/4)W
Now, let's find the work done by 50 people in 1 day.
Work done by 50 people in 1 day:
- Since 50 people can do (1/4)th of the work in 20 days, they can do 1 day's work in (20 * 4) = 80 hours.
- So, the work done by 50 people in 1 day = (1/80)W
To find the number of people needed to complete the work in 40 days, we need to consider the total work to be done and the time taken by these people.
Total work to be done:
- The total work is represented by 'W'.
Time taken:
- They need to complete the work in 40 days.
- They work for 4 hours each day.
- So, the total time taken by them = (40 * 4) = 160 hours.
Now, let's find the number of people needed to complete the work in 40 days.
Number of people needed:
- We can use the concept of the work done by each person being the same.
- The work done by 50 people in 1 day = (1/80)W
- Let's assume 'x' is the number of people needed to complete the work in 40 days.
- The work done by 'x' people in 1 day = (1/x)W
- Since the work done by each person is the same, we can equate the work done by 50 people in 1 day to the work done by 'x' people in 1 day.
- (1/80)W = (1/x)W
- Cross-multiplying, we get:
x = 80
Therefore, 80 people need to be joined in order to complete the work in 40 days, working the same number of hours as before.
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Community Answer
50 people can do 1/4th of work in 20 days working 4 hrs each day. How ...
D) 25
Explanation: M1*D1*H1*W2 = M2*D2*H2*W1
50*20*4*(3/4) = (50+x)*40*4*(1/4) Solve x = 25
Explanation: M1*D1*H1*W2 = M2*D2*H2*W1
50*20*4*(3/4) = (50+x)*40*4*(1/4) Solve x = 25
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