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Direction (): Read the following paragraph carefully to answer the questions that follow. These questions are linked i.e. questions can borrow information from each other’s question or solution. Solve the question carefully. 2 factories employ men and women to produce remote-controlled (RC) toy cars of 3 different sizes – small, medium and big. Men in factory A take 5 hours to make a small RC car alone, 7 hours to make a medium car alone and 9 hours to make the big one. A woman in factory A takes 6 hours, 7 hours and 8 hours to make a small, a medium and a big one alone. The men of factory B are 80% as efficient as the men in factory A, and the women in factory B are 110% as efficient as women of factory A. All workers in factory A work for 8 hours and in factory B work for 9 hours.
If the 13 female workers of factory B start work immediately (after finishing the first order) on their next order, while the male workers finish making cars from initial order (previous question), how many whole medium and big RC cars can be made by them till the male workers finish their work on previous order?
(NOTE: The medium and big RC cars are to be made in the ratio 3:2 respectively)
221
227
232
235
Data inadequate
Total time available for female workers of factory B after finishing initial order
– 18.61 days – 4.98 days = 13.63 days {18.61 and 4.98 days taken from previous questions, as the female and male workers work on alternate days}
Total man hours available to them – 13 women * 9 hours/day * 13.63 days = 117 * 13.63 = 1594.71 hours
Total time taken by them to make 3 medium cars and 2 big cars – ⇒ (3 * 7/1.1) + (2 * 8/1.1) = 19.1 hours + 14.54 hours = 33.63 hours
Total cars made – 5 * [(1594.71/33.63)] = 235 cars {here [] is the Greatest Integer Function}
Since cars have to be made in the ratio 3:2 for medium and big cars respectively.
By: Munesh Kumari ProfileResourcesReport error
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