In the questions of men and work we always use indirect variation. Now think of some situation related to men where direct variation will be used, e.g. If maximum 15 men can travel by three cars, then find maximum number of cars required for (a) 25 men (b) 38 men.

If 12 men can finish a work in 20 days , then find the number of days required to complete the same work by15 men .

A block of mass 200 kg is being pulled by some men, up an inclined plane of inclination 45^(@) and coefficient of friction 0.5, as shown in the figure. If the figure. If each man can apply a maximum number of men required to just slide the block, up the plane is

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.

We know that electric field (E ) at any point in space can be calculated using the relation vecE = - (deltaV)/(deltax)hati - (deltaV)/(deltay)hatj - (deltaV)/(deltaz)hatk if we know the variation of potential (V) at that point. Now let the electric potential in volt along the x-axis vary as V = 2x^2 , where x is in meter. Its variation is as shown in figure A charge particle of mass 10 mg and charge 2.5 muC is released from rest at x = 2 m . Find its velocity when it crosses origin.