Factory B gets a contract of manufacturing 100 small 120 medium and 80 big sized cars How much time ...........

Quantitative Aptitude (SBI-PO) Case Studies

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.

Factory B gets a contract of manufacturing 100 small, 120 medium and 80 big sized cars. How much time (approx days) will they take to complete this order if the factory employs 10 male and 12 female workers alternatively i.e. one day only male workers work and the next day only female workers work, and so on? Also, males work on making small and medium cars, where as females work only on big cars.

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Explanation:

Total hours required to build 100 small cars by male workers of factory B –

⇒ 100 * 5 * 125% = 625 hours {multiplied by 125% since male workers of factory B are 80% as efficient as male workers of factory A; it is equivalent to dividing by 80%}

Total man hours available in a day in factory B –

10* 9 = 90 hours

Total hours required to build 120 medium cars by male workers of factory B –

⇒ 120 * 7 * 125% = 1050 hours {multiplied by 125% since male workers of factory B are 80% as efficient as male workers of factory A; it is equivalent to dividing by 80%}

Total man hours available in a day in factory B –

10 * 9 = 90 hours

Time it will take to finish the small and medium cars batch by male workers –

(625 + 1050)/90 = 18.61 days

Total hours required to build 80 big cars by female workers of factory B –

⇒ 80 * 8 * 91% = 582.4 hours {multiplied by 91% since female workers of factory B are 110% as efficient as female workers of factory A}

Total man hours available in a day in factory B – 13 * 9 = 117 hours

Time taken to finish the order of big cars – 582.4/117 = 4.98 days

Total time taken to finish the order – 18.61 4.98 = 23.59 ≈ 24 days