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Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:
- a)Rs. 900
- b)Rs. 800
- c)Rs. 1200
- d)Rs. 1300
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Two men A and B working together complete a piece of work which it wou...
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Two men A and B working together complete a piece of work which it wou...
Received a payment of Rs. 600 more than A. How much money did B receive?
Let's assume that A's daily work rate is x units per day and B's daily work rate is y units per day.
If A works alone, he would complete the work in 30 days, so the total work is 30x units.
If B works alone, he would complete the work in 40 days, so the total work is 40y units.
When A and B work together, their combined work rate is (x+y) units per day. The total work is completed in 30 days, so the total work is (30(x+y)) units.
Since the total work is the same in both cases, we can set up the equation:
30x = 40y
Now we know that B received a payment of Rs. 600 more than A, so B received (A + 600) Rs.
The total payment received is Rs. 2100, so A received (2100 - (A + 600)) = (1500 - A) Rs.
Now we can set up another equation based on the work done and the payment received:
30(x+y) = 2100
30(x+y) = 30x + 30y = 2100
Substituting the equation 30x = 40y into 30x + 30y = 2100, we get:
40y + 30y = 2100
70y = 2100
y = 2100/70 = 30
Substituting y = 30 into 30x = 40y, we get:
30x = 40*30
30x = 1200
x = 1200/30 = 40
So A's daily work rate is x = 40 units per day and B's daily work rate is y = 30 units per day.
Now we can calculate how much money B received:
B received (A + 600) = (40 + 600) = 640 Rs. Answer: \boxed{640}.
Let's assume that A's daily work rate is x units per day and B's daily work rate is y units per day.
If A works alone, he would complete the work in 30 days, so the total work is 30x units.
If B works alone, he would complete the work in 40 days, so the total work is 40y units.
When A and B work together, their combined work rate is (x+y) units per day. The total work is completed in 30 days, so the total work is (30(x+y)) units.
Since the total work is the same in both cases, we can set up the equation:
30x = 40y
Now we know that B received a payment of Rs. 600 more than A, so B received (A + 600) Rs.
The total payment received is Rs. 2100, so A received (2100 - (A + 600)) = (1500 - A) Rs.
Now we can set up another equation based on the work done and the payment received:
30(x+y) = 2100
30(x+y) = 30x + 30y = 2100
Substituting the equation 30x = 40y into 30x + 30y = 2100, we get:
40y + 30y = 2100
70y = 2100
y = 2100/70 = 30
Substituting y = 30 into 30x = 40y, we get:
30x = 40*30
30x = 1200
x = 1200/30 = 40
So A's daily work rate is x = 40 units per day and B's daily work rate is y = 30 units per day.
Now we can calculate how much money B received:
B received (A + 600) = (40 + 600) = 640 Rs. Answer: \boxed{640}.
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Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of Rs. 2100, B’s share is:a)Rs. 900b)Rs. 800c)Rs. 1200d)Rs. 1300e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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