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Preparing for a competitive exam is a challenge in itself, and if that exam is one of the toughest exams of the nation, then it builds more pressure upon you. Similarly, the CAT is also the most challenging exam to get admission in the premier management colleges of India.
This exam is not the test of your knowledge but also your patience. A systematic and holistic approach is required to ace this exam. Various sections and concepts have to be covered through this exam. Similarly, a part of this examination that seems easy but not easy at all is the time and work concepts. This concept is widely asked in most competitive exams.
Time is the duration in which any activity or work happens. Work is a particular type of task or activity performed in a given period.
We experience both of them in our daily life; even right now, when you are reading this blog, you are doing work while scrolling the page for a given reading time.
(a) 288 Litres
(b) 36 Litres
(c) 144 Litres
(d) Cannot be determined
Explanation: Let the tap fill the tank in x hrs.The rate of leak per hour is = (1/8)and rate of the leak when the tap is on = (1 / 12).Thus we get 1/8 – 1/x = 1/12 1/x = 1/8 – 1/12 = 2/48 = 1/24i.e., a tap can fill the tank in 24 hrs.The tap fills at 6 liters per hour so that it will fill 6 × 24 = 144 liters in 24 hours. Hence the capacity of the tank is 144 liters.Hence option (c) is the answer.
Q-2. One man can do the same work in one day, and a woman can do the same in 2 days. A child can do one-third of the work in a day as compared to a woman. If a company hires men, women, and children in the ratio which makes 39 pairs in the ratio of 6: 5: 2 and pays them the amount of Rs. 1, 113 at the end of the day s work, what should be the daily wages of a child, if the wages are proportional to the value of work done?(a) Rs 14
(b) Rs 5
(c) Rs 20
(d) Rs 7
Explanation: The ratio of the number of men, women, and children is = 6 : 5: 2, and the total number of men, children, and women = 39.Hence the number of men = 18, children, and women = 15 is = 6.The ratio of work done by men:women: children is = 6 : 3 : 1∴ ratio of work done by 18 men, 6 children, and 15 women is= (18 × 6) : (15 × 3) : (6 × 1) = 108 : 45 : 6Therefore Rs.1113 will be divided in this ratio.This makes Rs756 for men, Rs42 for children, and Rs 315 for women. Hence 6 children will get Rs42 in a day.Therefore, option (d) is the answer.
Now take another example: Suppose a pit has to be dug in 10 days. If an individual can dig a hole in 10 days, then in 1 day, he can 1/10th of the pit. This basic approach is applied while solving most of the time and work questions for CAT.Nothing can replace the efficacy of a book. Apart from your own efforts, this will be the best companion to excel in the examination.
Some of the top books for Quantitative Aptitude are given below:
To conclude, you must remember that only practice and time make you the master in this section. time and work concepts for CAT improve your performance and assist you in aligning with the actual exam syllabus. You are preparing to become future leaders and visionaries, so it is essential to understand the value of time and work.
Wscubetech
A California-based travel writer, lover of food, oceans, and nature.
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