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It takes two hours for a person X to mow the lawn. Y can move the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to move the lawn?
- a)120
- b)80
- c)60
- d)90
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
It takes two hours for a person X to mow the lawn. Y can move the same...
Time taken by X to now the lawn = 2 hrs.
∴ Work done by X in
Similarly, Work done by 4 in hr = ¼
Work done by x + 4 in 1 hr =
∴ Total time taken by X & 4 together =
= 80 Minutes
∴ Work done by X in
Similarly, Work done by 4 in hr = ¼
Work done by x + 4 in 1 hr =
∴ Total time taken by X & 4 together =
= 80 Minutes
Most Upvoted Answer
It takes two hours for a person X to mow the lawn. Y can move the same...
Given:
- Person X takes 2 hours to mow the lawn.
- Person Y takes 4 hours to mow the same lawn.
To find:
- How long will it take X and Y, if they work together to mow the lawn?
Explanation:
When two people work together, their combined work rate is the sum of their individual work rates. Let's calculate the work rates of X and Y first.
Work Rate of X:
- Person X takes 2 hours to mow the lawn.
- Therefore, X's work rate is 1 lawn / 2 hours = 1/2 lawns per hour.
Work Rate of Y:
- Person Y takes 4 hours to mow the lawn.
- Therefore, Y's work rate is 1 lawn / 4 hours = 1/4 lawns per hour.
Work Rate of X and Y together:
- When X and Y work together, their work rates are additive.
- So, their combined work rate is (1/2 + 1/4) lawns per hour = 3/4 lawns per hour.
To find the time required for X and Y to mow the lawn, we can use the formula:
Time = Work / Work Rate
Work:
- The work to be done is mowing the lawn, which is 1 lawn.
Combined Work Rate of X and Y:
- The combined work rate of X and Y is 3/4 lawns per hour.
Time required for X and Y to mow the lawn:
Using the formula, we have:
Time = Work / Work Rate
Time = 1 lawn / (3/4 lawns per hour)
Time = 1 lawn * (4/3 hours per lawn)
Time = 4/3 hours
Converting the time to minutes, we have:
Time in minutes = (4/3 hours) * (60 minutes per hour)
Time in minutes = (4/3) * 60 minutes
Time in minutes = 80 minutes
Therefore, it will take X and Y 80 minutes to mow the lawn together.
Answer:
The correct answer is option B) 80.
- Person X takes 2 hours to mow the lawn.
- Person Y takes 4 hours to mow the same lawn.
To find:
- How long will it take X and Y, if they work together to mow the lawn?
Explanation:
When two people work together, their combined work rate is the sum of their individual work rates. Let's calculate the work rates of X and Y first.
Work Rate of X:
- Person X takes 2 hours to mow the lawn.
- Therefore, X's work rate is 1 lawn / 2 hours = 1/2 lawns per hour.
Work Rate of Y:
- Person Y takes 4 hours to mow the lawn.
- Therefore, Y's work rate is 1 lawn / 4 hours = 1/4 lawns per hour.
Work Rate of X and Y together:
- When X and Y work together, their work rates are additive.
- So, their combined work rate is (1/2 + 1/4) lawns per hour = 3/4 lawns per hour.
To find the time required for X and Y to mow the lawn, we can use the formula:
Time = Work / Work Rate
Work:
- The work to be done is mowing the lawn, which is 1 lawn.
Combined Work Rate of X and Y:
- The combined work rate of X and Y is 3/4 lawns per hour.
Time required for X and Y to mow the lawn:
Using the formula, we have:
Time = Work / Work Rate
Time = 1 lawn / (3/4 lawns per hour)
Time = 1 lawn * (4/3 hours per lawn)
Time = 4/3 hours
Converting the time to minutes, we have:
Time in minutes = (4/3 hours) * (60 minutes per hour)
Time in minutes = (4/3) * 60 minutes
Time in minutes = 80 minutes
Therefore, it will take X and Y 80 minutes to mow the lawn together.
Answer:
The correct answer is option B) 80.
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It takes two hours for a person X to mow the lawn. Y can move the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to move the lawn?a)120b)80c)60d)90Correct answer is option 'B'. Can you explain this answer?
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