A can do a work in 16 days and B in 26 days. They work together for 5 days. What percentage of work remains? MCQ with Answer and Explanation

A can do a work in 16 days and B in 26 days. They work together for 5 days. What percentage of work remains?
A. 54.52
B. 59.52
C. 64.52
D. 49.52
Answer: Option D
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/16+1/26)) ×100 = 49.52%.

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Practice More Time and Work Questions

Question #1
A can complete a piece of work in 16 days and B in 12 days. Starting with A, they work on alternate days. In how many days will the total work be completed?
A. 13(1/2) days
B. 13(3/4) days
C. 12(2/3) days
D. 14 days

Correct Answer: Option B


Explanation:
Total work = LCM(16, 12) = 48 units. Efficiency of A = 3, B = 4. In a 2-day cycle (A then B), work completed = 3 + 4 = 7 units. In 6 cycles (12 days), work completed = 7 * 6 = 42 units. Remaining work = 48 - 42 = 6 units. On Day 13, A works and completes 3 units. Remaining work = 3 units. On Day 14, B works with efficiency 4, so time taken = 3/4 day. Total time = 12 + 1 + 3/4 = 13(3/4) days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 22 days and B in 44 days. After working together for 5 days, what percentage of work remains?
A. 70.91
B. 68.41
C. 65.91
D. 73.41

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/22+1/44))×100 = 65.91%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 27 days and B in 37 days. If both work together, in how many days will the work be completed?
A. 15.61
B. 20.61
C. 23.11
D. 18.11

Correct Answer: Option A


Explanation:
Combined rate = 1/27 + 1/37. Time = 15.61 days.

This question belongs to: Maths Time and Work