CRE 3 - Payments | Time and Work
A and B can complete a work in 30 and 40 days respectively. They both work together and finish the work. They get a total of Rs. 7,000 to complete the work. What the A's share (in Rs.)
- A.
Rs. 3000
- B.
Rs. 4000
- C.
Rs. 3500
- D.
None of these
Answer: Option B
Explanation :
We know that the ratio of payment = ratio of work done.
⇒ =
Since both A and B work together, they work for same number of days
∴ = = = =
⇒ PA = × 7000 = Rs. 4000.
Hence, option (b).
Workspace:
A, B and C can complete a work in 30, 40 and 50 days respectively. They work together and finish the work. They get a total of Rs. 9400 to complete the work. What the C's share (in Rs.)
Answer: 2400
Explanation :
We know that the ratio of payment = ratio of work done.
⇒ PA : PB : PC = eA × tA : eB × tB : eC × tC
Since all three of them work together, they work for same number of days
∴ PA : PB : PC = eA : eB : eC = = 20 : 15 : 12
⇒ PC = 12/47 × 9400 = Rs. 2400.
Hence, 2400.
Workspace:
A can do a piece of work in 40 days. Along with B he finished the work in 24 days and together they got Rs. 1,000 for it. What was B's share?
- A.
Rs. 500
- B.
Rs. 600
- C.
Rs. 400
- D.
Rs. 300
Answer: Option C
Explanation :
A can complete the work alone in 40 days.
∴ Work done by A in 24 days = = t h
∴ Work done by B in 24 days = 1 - = th
⇒ Payment that B recieves will be 2/5th of the total payment = × 1000 = Rs. 400
Hence, option (c).
Workspace:
A, B and C can complete a task in 32, 16 and 24 days respectively. They start working together but A leaves 4 days after the start of the work while B leaves 6 days before the works gets completed. Find B's share out of Rs. 3120?
- A.
Rs. 1170
- B.
Rs. 1950
- C.
Rs. 1550
- D.
Rs. 1520
- E.
None of these
Answer: Option A
Explanation :
Let the work to be done = LCM (32, 16, 24) = 96 units
∴ Efficiency of A = 96/32 = 3 units/day
Efficiency of B = 96/16 = 6 units/day
Efficiency of C = 96/24 = 4 units/day
Let the time taken to complete the entire work = x days.
A works for 4 days.
B works for (x - 6) days
C works for x days
Total work done = Work done by A in 4 days + Work done by B in (x - 6) days + Work done by C in x days.
⇒ 96 = 3 × 4 + 6 × (x - 6) + 4 × x
⇒ 96 = 12 + 6x - 36 + 4x
⇒ 120 = 10x
⇒ x = 12
∴ B worked for 12 - 6 = 6 days
⇒ Work done by B = 6 × 6 = 36 units
⇒ Fraction of work done by B = = units
⇒ Payment for B = × 3120 = 1170
Hence, option (a).
Workspace:
A and B can complete a piece of work in 24 and 30 days respectively. A and B, with the help of C completed the same piece of work in 8 days. If they together got paid Rs. 36,000 for the work, find C's share?
Answer: 14400
Explanation :
A alone can complete the work in 24 days.
∴ Fraction of work done by A in 8 days = =
B alone can complete the work in 30 days.
∴ Fraction of work done by B in 8 days = =
∴ Fraction of work done by A and B in 8 days = + =
∴ Fraction of work done by C in 8 days = 1 - =
∴ Payment recieved by C = × 36000 = Rs. 14,400
Hence, 14400
Workspace:
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