A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains?
A. 55.0
B. 50.0
C. 57.5
D. 52.5
Answer: Option B
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/15+1/30))×100 = 50.0%.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 30 days and B alone in 22 days. What percentage of the total daily work is contributed by A?
A. 49.81
B. 42.31
C. 44.81
D. 47.31

Correct Answer: Option B


Explanation:
A share = (1/30) / (1/30+1/22) ×100 = 42.31%.

This question belongs to: Maths Time and Work
Question #2
A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
A. 8 days
B. 9 days
C. 10 days
D. 11 days

Correct Answer: Option B


Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 3 * 7 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B to complete remaining work = 27 / 3 = 9 days.

This question belongs to: Maths Time and Work
Question #3
13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:
A. 31.67
B. 21.67
C. 26.67
D. 36.67

Correct Answer: Option B


Explanation:
Total work = 390 man-days. Time = 390/18 = 21.67 days.

This question belongs to: Maths Time and Work