A can complete a work in 14 days and B in 28 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 14 days and B in 28 days. After working together for 5 days, what percentage of work remains?
A. 48.93
B. 53.93
C. 51.43
D. 46.43
Answer: Option D
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/14+1/28))×100 = 46.43%.

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Practice More Time and Work Questions

Question #1
A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. In how many days can A alone complete the work?
A. 20 days
B. 24 days
C. 30 days
D. 40 days

Correct Answer: Option C


Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing these gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6. Efficiency of A = (A+B+C) - (B+C) = 6 - 4 = 2. Time taken by A alone = 60 / 2 = 30 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 18 days and B in 36 days. After working together for 5 days, what percentage of work remains?
A. 63.33
B. 58.33
C. 65.83
D. 60.83

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/18+1/36))×100 = 58.33%.

This question belongs to: Maths Time and Work
Question #3
A group of men decided to do a work in 10 days, but 5 of them became absent. If the rest of the group did the work in 12 days, find the original number of men.
A. 30
B. 40
C. 35
D. 25

Correct Answer: Option A


Explanation:
Let the original number of men be x. Using M1 * D1 = M2 * D2: x * 10 = (x - 5) * 12 => 10x = 12x - 60 => 2x = 60 => x = 30.

This question belongs to: Maths Time and Work