A is 30% more efficient than B. How much time will they take together to complete a job which A alone can finish in 23 days? MCQ with Answer and Explanation
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Question #1
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A can complete a work in 24 days and B in 30 days. If both work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.
Combined rate = 1/24 + 1/30. Time = 13.33 days.
This question belongs to:
Maths
Time and Work
Question #2
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A and B work together. A alone can complete the work in 30 days and B alone in 32 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option A
Explanation:
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.
This question belongs to:
Maths
Time and Work
Question #3
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If 20 men can build a wall 56 meters long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
Correct Answer: Option A
Explanation:
Using (M1 * D1) / W1 = (M2 * D2) / W2: (20 * 6) / 56 = (35 * 3) / W2 => 120 / 56 = 105 / W2 => W2 = (105 * 56) / 120 = (7 * 56) / 8 = 7 * 7 = 49 meters.
Using (M1 * D1) / W1 = (M2 * D2) / W2: (20 * 6) / 56 = (35 * 3) / W2 => 120 / 56 = 105 / W2 => W2 = (105 * 56) / 120 = (7 * 56) / 8 = 7 * 7 = 49 meters.
This question belongs to:
Maths
Time and Work
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