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Time and Work · Exercise 3 of 5

Time and Work Hard Level

  • 40 questions
  • Page 1 of 4
  • Answers explained
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40 hard time and work questions for bank mains, CSAT and state PSC: workers leaving at different times, changing efficiency, three-way combinations, wages for partial work, the √(a·b) shortcut, rotations and a bar-chart data-interpretation set.

Question 1 Hard

A, B and C can finish a job in 12, 18 and 36 days. All three start together; A leaves after 3 days, and B leaves 3 days before the job is finished. How long does the job take?

A 11 days
B 9 days
C 12 days
D 10 days
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Question 2 Hard

A, B and C take a contract for ₹ 5,400. A and B together could finish it in 6 days, but with C's help it is finished in 4 days. How much should C get?

A ₹ 1,350
B ₹ 2,160
C ₹ 1,800
D ₹ 1,080
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Question 3 Hard

A can finish a job in 30 days. After 10 days his efficiency rises by 25%. How many days in all does he take?

A 26 days
B 24 days
C 25 days
D 28 days
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Question 4 Hard

A and B together can finish a job in 12 days, and B alone in 20 days. They work together for 4 days; after that A works at half his efficiency. How many more days do they take?

A 8 days
B 12 days
C 9 days
D 10 days
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Question 5 Hard

A is three times as fast as B and C together, and B is twice as fast as C. Together they finish a job in 6 days. How long would A alone take?

A 24 days
B 8 days
C 9 days
D 18 days
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Question 6 Hard

A and B can finish a job in 20 days, B and C in 30 days, and A and C in 24 days. All three work for 10 days, then B and C leave. How long does A take to finish?

A 15 days
B 10 days
C 18 days
D 12 6/7 days
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Question 7 Hard

A can finish a job in 10 days. B is 50% more efficient than A, and C is 25% less efficient than A. How long will all three take together?

A 3 days
B 3 1/13 days
C 4 days
D 3 1/3 days
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Question 8 Hard

A and B together can finish a job in 20 days for ₹ 6,000. They work together for 10 days, and B finishes the rest alone in 15 days. How much should A be paid?

A ₹ 1,000
B ₹ 2,000
C ₹ 3,000
D ₹ 1,500
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Question 9 Hard

A alone takes 8 days more than A and B together, and B alone takes 18 days more than A and B together. How long do A and B take together?

A 13 days
B 10 days
C 12 days
D 26 days
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Question 10 Hard

A and B together finish a job in 18 days, and with C they finish it in 12 days. If all three are paid ₹ 1,800 for the job, how much does C get?

A ₹ 600
B ₹ 900
C ₹ 720
D ₹ 450
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