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. 63.03
B. 68.03
C. 60.53
D. 65.53
Answer: Option C
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
If 6 men and 8 boys can do a piece of work in 10 days, then 3 men and 4 boys will do the same work in:
A. 12 days
B. 5 days
C. 20 days
D. 15 days

Correct Answer: Option C


Explanation:
The number of workers (3 men and 4 boys) is exactly half of the original group (6 men and 8 boys). Since efficiency becomes half, the time taken will double. Total time = 10 * 2 = 20 days.

This question belongs to: Maths Time and Work
Question #2
A is twice as fast as B and B is twice as fast as C. If they together can complete a work in 4 days, in how many days can C alone complete it?
A. 28 days
B. 24 days
C. 16 days
D. 32 days

Correct Answer: Option A


Explanation:
Let efficiency of C = 1, then B = 2 and A = 4. Combined efficiency = 1 + 2 + 4 = 7 units/day. Total work = 4 * 7 = 28 units. Time taken by C alone = 28 / 1 = 28 days.

This question belongs to: Maths Time and Work
Question #3
A and B can do a piece of work in 45 days and 40 days respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. After how many days did A leave?
A. 6 days
B. 8 days
C. 12 days
D. 9 days

Correct Answer: Option D


Explanation:
Total work = LCM(45, 40) = 360 units. Efficiency of A = 8, B = 9. B worked alone for 23 days, so work done = 23 * 9 = 207 units. Remaining work = 360 - 207 = 153 units. This was completed by A and B together. Combined efficiency = 8 + 9 = 17. Time worked together = 153 / 17 = 9 days. Thus, A left after 9 days.

This question belongs to: Maths Time and Work