A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains?
A. 69.29
B. 71.79
C. 64.29
D. 66.79
Answer: Option C
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/21+1/42))×100 = 64.29%.

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Practice More Time and Work Questions

Question #1
A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work?
A. 72 days
B. 36 days
C. 24 days
D. 54 days

Correct Answer: Option C


Explanation:
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.

This question belongs to: Maths Time and Work
Question #2
A, B and C can complete a piece of work in 12, 15 and 20 days respectively. If they work together, what is the ratio of their wages?
A. 5 : 3 : 4
B. 4 : 5 : 6
C. 3 : 4 : 5
D. 5 : 4 : 3

Correct Answer: Option D


Explanation:
Wages are distributed in the ratio of their efficiencies. Ratio of time taken = 12 : 15 : 20. Ratio of efficiencies = 1/12 : 1/15 : 1/20. Multiplying by LCM (60), we get 5 : 4 : 3.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 23 days and B in 15 days. If they work together, the work will be completed in:
A. 19.08
B. 14.08
C. 9.08
D. 24.08

Correct Answer: Option C


Explanation:
Combined rate = 1/23 + 1/15. Required time = 9.08 days.

This question belongs to: Maths Time and Work