A and B can complete a piece of work in 20 days and 30 days respectively. If they work on alternate days starting with B, in how many days will the work be finished? MCQ with Answer and Explanation
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Question #1
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A factory produces 6000 toys in 12 days working 8 hours a day. How many toys can it produce in 15 days working 6 hours a day?
Correct Answer: Option D
Explanation:
Using (D1 * H1) / W1 = (D2 * H2) / W2: (12 * 8) / 6000 = (15 * 6) / W2 => 96 / 6000 = 90 / W2 => W2 = (90 * 6000) / 96 = 540000 / 96 = 5625 toys.
Using (D1 * H1) / W1 = (D2 * H2) / W2: (12 * 8) / 6000 = (15 * 6) / W2 => 96 / 6000 = 90 / W2 => W2 = (90 * 6000) / 96 = 540000 / 96 = 5625 toys.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 13 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/13 + 1/18. Time = 1 ÷ combined rate = 7.55 days.
Combined rate = 1/13 + 1/18. Time = 1 ÷ combined rate = 7.55 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
This question belongs to:
Maths
Time and Work
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