A can complete a work in 19 days and B in 38 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 19 days and B in 38 days. After working together for 5 days, what percentage of work remains?
A. 65.53
B. 68.03
C. 63.03
D. 60.53
Answer: Option D
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/19+1/38))×100 = 60.53%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 22 days. What percentage of work will A complete in 6 days?
A. 37.27
B. 27.27
C. 32.27
D. 42.27

Correct Answer: Option B


Explanation:
Percentage completed = (6/22) × 100 = 27.27%.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work?
A. 8 days
B. 11 days
C. 12 days
D. 10 days

Correct Answer: Option D


Explanation:
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 2 = 10 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 18 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?
A. 11.65
B. 17.65
C. 13.65
D. 15.65

Correct Answer: Option A


Explanation:
Combined rate = 1/18 + 1/33. Time = 1 ÷ combined rate = 11.65 days.

This question belongs to: Maths Time and Work