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A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?
- a)33.33%
- b)50%
- c)66.67%
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A mother along with her two sons is entrusted with the task of cooking...
In the first case they finish half the work in 30 min. or they will finish the work in one hour.
►So they work one hour each in the first case. In the second case, they work the elder for 1 hour and the younger for 4 hours.
►Equating the two cases implies whatever younger son does in three hours the mother does in one hour.
►The time taken by younger son is thrice the time taken by the mother. Now if mother takes M hours, younger son will take 3M hour and the elder son will take M+1 hours, as given in the question.
►Now they are finishing the work in one hour implies the following equation.
►Solving this equation, we get M = 2. So mother takes 2 hours, elder son takes 3 and younger son takes 6 hours.
Thus in one hour mother does 50% of work.
Thus in one hour mother does 50% of work.
Most Upvoted Answer
A mother along with her two sons is entrusted with the task of cooking...
Let's break down the information given in the problem:
1. All three - mother and two sons - take 30 minutes to complete 50% of the cooking task.
2. The elder son can cook for 1 hour, and the younger son can cook for an additional 3 hours after the elder son leaves.
3. The mother takes 1 hour less than the elder son to complete the cooking.
Now, let's calculate the cooking capacity of each person per hour:
1. Cooking Capacity of Three People:
- In 30 minutes, they complete 50% of the task.
- So, in 1 hour, they can complete 100% of the task.
- Therefore, the cooking capacity of all three together is 100% per hour.
2. Cooking Capacity of Two Sons:
- Let's assume the cooking capacity of the elder son is 'x' and the younger son is 'y'.
- According to the given information, the elder son can cook for 1 hour, and the younger son can cook for an additional 3 hours.
- So, the total cooking capacity of the two sons is: 1*x + 3*y.
3. Cooking Capacity of the Mother:
- According to the given information, the mother takes 1 hour less than the elder son to complete the cooking.
- So, the cooking capacity of the mother is 'x - 1'.
Now, let's form equations based on the above information:
1. Cooking Capacity of Three People:
- 1/x + 1/y + 1/(x-1) = 1
2. Cooking Capacity of Two Sons:
- 1/x + 3/y = 1
Solving the above equations, we get:
x = 2 and y = 6/5
Finally, let's calculate the cooking capacity of the mother per hour:
Cooking Capacity of the Mother = x - 1 = 2 - 1 = 1
Therefore, the mother completes 100% of the cooking task in 1 hour, which means she completes 100% per hour or 50% in half an hour.
Hence, the correct answer is option B) 50%.
1. All three - mother and two sons - take 30 minutes to complete 50% of the cooking task.
2. The elder son can cook for 1 hour, and the younger son can cook for an additional 3 hours after the elder son leaves.
3. The mother takes 1 hour less than the elder son to complete the cooking.
Now, let's calculate the cooking capacity of each person per hour:
1. Cooking Capacity of Three People:
- In 30 minutes, they complete 50% of the task.
- So, in 1 hour, they can complete 100% of the task.
- Therefore, the cooking capacity of all three together is 100% per hour.
2. Cooking Capacity of Two Sons:
- Let's assume the cooking capacity of the elder son is 'x' and the younger son is 'y'.
- According to the given information, the elder son can cook for 1 hour, and the younger son can cook for an additional 3 hours.
- So, the total cooking capacity of the two sons is: 1*x + 3*y.
3. Cooking Capacity of the Mother:
- According to the given information, the mother takes 1 hour less than the elder son to complete the cooking.
- So, the cooking capacity of the mother is 'x - 1'.
Now, let's form equations based on the above information:
1. Cooking Capacity of Three People:
- 1/x + 1/y + 1/(x-1) = 1
2. Cooking Capacity of Two Sons:
- 1/x + 3/y = 1
Solving the above equations, we get:
x = 2 and y = 6/5
Finally, let's calculate the cooking capacity of the mother per hour:
Cooking Capacity of the Mother = x - 1 = 2 - 1 = 1
Therefore, the mother completes 100% of the cooking task in 1 hour, which means she completes 100% per hour or 50% in half an hour.
Hence, the correct answer is option B) 50%.
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A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mother along with her two sons is entrusted with the task of cooking Biryani for a family get-together. It takes 30 minutes for all three of them cooking together to complete 50 percent of the task. The cooking can also be completed if the two sons start cooking together and the elder son leaves after 1 hour and the younger son cooks for further 3 hours. If the mother needs 1 hour less than the elder son to complete the cooking, how much cooking does the mother complete in an hour?a)33.33%b)50%c)66.67%d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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