A can complete a work in 14 days and B in 15 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 14 days and B in 15 days. If they work together, the work will be completed in:
A. 7.24
B. 12.24
C. 22.24
D. 17.24
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/15. Required time = 7.24 days.

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Practice More Time and Work Questions

Question #1
A is twice as efficient as B. If they complete a work together in 14 days, how many days will A alone take to complete it?
A. 28 days
B. 21 days
C. 42 days
D. 35 days

Correct Answer: Option B


Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work
Question #2
A is 50% more efficient than B. C does half of the work done by A and B together in the same time. If C alone can do the work in 40 days, then A, B and C together can do the work in:
A. 15 days
B. 30 days
C. 20 days
D. 13(1/3) days

Correct Answer: Option D


Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Combined efficiency of A and B = 5. Efficiency of C = 5 / 2 = 2.5. Total work = Efficiency of C * Time taken by C = 2.5 * 40 = 100 units. Combined efficiency of A, B and C = 3 + 2 + 2.5 = 7.5 units/day. Time taken together = 100 / 7.5 = 1000 / 75 = 40 / 3 = 13(1/3) days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains?
A. 76.25
B. 73.75
C. 68.75
D. 71.25

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/24+1/48))×100 = 68.75%.

This question belongs to: Maths Time and Work