The duration of the journey from your home to the College in the local train varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the diesel used per km., and inversely as the number of car ?->(Show Answer!)

1. The duration of the journey from your home to the College in the local train varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the diesel used per km., and inversely as the number of carriages in the train. If, in a journey of 70 km. in 45 minutes with 15 carriages, 10 litres of diesel is required, then the diesel that will be consumed in a journey of 50 km. in half an hour with 18 carriages is

Write Comment

Comments

By: anil on 05 May 2019 02.39 am

Let D be the distance, T be the time, V be the velocity, N be the number of carriages and X be the liters of Diesel required.
Given T$$ltimes dfrac{D}{V}$$
Also given that, V $$ltimes dfrac{sqrt{frac{X}{D}}}{N}$$
Thus, T = $$dfrac{k*N*D^{frac{3}{2}}}{sqrt{X}}$$
Given when in a journey of 70 km, in 45 minutes with 15 carriages, 10 litres of diesel is required
Thus, 45 = $$dfrac{k*15*70^{frac{3}{2}}}{sqrt{10}}$$
Thus, k = $$dfrac{3}{70sqrt{7}}$$
In a journey of 50 km, in half an hour with 18 carriages
30 = $$dfrac{3}{70sqrt{7}}*dfrac{50sqrt{50}*18}{sqrt{X}}$$
Thus, $$sqrt{X} = dfrac{9*sqrt{50}}{7*sqrt{7}}$$
Thus, X = 11.8
Hence, option B is the correct answer.

Tags

Show Similar Question And Answers

QA->If a car covers 60 km at 30 km per hour and the next 120 km at 60 km per hour,what is the average speed of the car over the entire distance of 180 km?....

QA->A car during its journey travels 30 minutes at the speed of 40 km/hr. another 45 minutes at the speed of 60 km /hr and for two hours at a speed of 70 km/hr. Find the average speed of the car?....

QA->The amount of bleaching powder required to disinfect 1000 litres of water is :....

QA->Which country launched the world’s fastest train service covering a distance of 1,068 kms at the average speed of 350 kms an hour?....

QA->The least number of square tiles required to pave the floor of a room having length 11m 47 cm and 10m 36cm breadth is ...........

MCQ->The duration of the journey from your home to the College in the local train varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the diesel used per km., and inversely as the number of carriages in the train. If, in a journey of 70 km. in 45 minutes with 15 carriages, 10 litres of diesel is required, then the diesel that will be consumed in a journey of 50 km. in half an hour with 18 carriages is....

MCQ-> Read the following passage carefully and answer the questions given. Certain words have been given in bold to help you locate them while answering some of the questions.We are told that economy is growing and that such growth benefits all of us. However, what you see is not what you always get. Most people are experiencing declining economic security in response to the problems of the global system, many communities have turned to Local Exchange Systems (LESs) to help regain some control over their economic situations.Local exchange systems come in many forms. They often involve the creation of a local currency, or a system of bartering labour, or trading of agricultural products as a means of supporting the region in which they are traded. Such a system helps preserve the viability of local economies.Local currencies allow communities to diversify their economies, reinvest resources back into their region and reduce dependence on the highly concentrated and unstable global economy. Each local currency system serves as an exchange bank for skills and resources that Individuals in the community are willing to trade. Whether in the form of paper money, service credits, or other units, a local currency facilitates the exchange of services and resources among the members of a community.By providing incentives for local trade, communities help their small businesses and reduce underemployment by providing the jobs within the community. In addition, the local exchange of food and seeds promotes environmental conservation and community food security. Local food production reduces wasteful transportation and promotes self-reliance and genetic diversity. Each transaction within a local exchange system strengthens the community fabric as neighbours interact and meet one another.There are over 1,000 local change programs worldwide more than 30 local paper currencies in North America and at least 800 Local Exchange Trading Systems (LETS) throughout Europe. New Zealand and Australia Local Exchange Systems vary and evolve in accordance with the needs and circumstances of the local area. This diversity is critical to the success of the local currencies. For instance, a bank in rural Massachusetts refused to lend a fanner the money needed to make it through the winter. In response, the farmer decided to print his own money Berkshire Farm Preserve Notes. In winter, customers buy the notes for $9 and they may redeem them in the summer for $10 worth of vegetables. The system enabled the community to help a farm family after being abandoned by the centralised monetary system. As small family farms continue to disappear at an alarming rate, local currencies provide tools for communities to bind together, support their local food growers and maintain their local food suppliers.Local Exchange Systems are not limited to developed countries.Rural areas of Asia, Latin America and Africa have offered some of the most effective and important programs, by adopting agriculture-based systems of exchange rather than monetary ones. In order to preserve genetic diversity, economic security and avoid dependence on industrial seed and chemical companies, many villages have developed seed saving exchange banks. For example, the village women in Ladakh have begun to collect and exchange rare seeds selected for their ability to grow in a harsh mountain climate. This exchange system protects agriculture diversity while promoting self-reliance. There is no one blueprint for a local exchange system, which is exactly why they are successful vehicles for localisation and sustainability. They promote local economic diversity and regional self-reliance while responding to a region’s specific needs. Local exchange systems play a pivotal role in creating models for sustainable societies. They are an effective educational tool, raising awareness about the global financial system and local economic matters. Local exchange systems also demonstrate that tangible, creative solutions exist and that communities can empower themselves to address global problems.Which of the following is same in meaning as the word ‘LIMITED TO’ as used in the passage?
....

MCQ-> Questions are based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question. A BPO has assigned duty to nine operators - Abdulla, Ballal, Chandan, Dogra, Eshita, Falguni, Ganguli, Henri and Indra - on Monday, January 05, 2009 from 00:00 hours. Each operator commences duty at any of the following hours: 00:00 hrs, 04:00 hrs, 08:00 hrs, 12:00 hrs, 16:00 hrs and 20:00 hrs. At any point in time, at least one operator is required, to take clients' calls. Each operator works continuously for eight hours. All operators located at any single location start work simultaneously. The operators took training in five different colleges -Abhiman College, Sutanama College, Gutakal College, Barala College and Khatanama College. These colleges are located in the cities Jamshedpur, Pune, Noida, Hyderabad and Mangalore, not necessarily in that order. The operators operate from the cities where their respective colleges are located. Indra operates alone from a city other than Mangalore and Jamshedpur. Operator(s) trained in Abhiman College will start working at 12:00 hrs. Only Dogra and Falguni operate from Pune, but they are not trained in Gutakal College. Three of the operators took training from Sutanama College, and they operate from Noida. The operator(s) from Jamshedpur will start working at 0:00 hrs. Abdulla and Henri operate together as a two member team from a single location. They do not operate from Mangalore. No operator(s) will join at 20:00 hrs. Ballal, who alone operates from his location, was not trained in Barala College, and will commence his duty four hours after the operator(s) trained in Gutakal College. The operator(s) trained in Barala College operate from Hyderabad. The number of operator(s) trained in Khatanama College is same as the number of operator(s) trained in Barala College.Which of the following statements must be true?
....

MCQ-> Study the following information carefully to answer the given questions.This data is regarding number of Junior Coliege students, Graduate students and Post-Graduate students (PG) only, studying in colleges A, B, C and D. The respective ratio between the total number of students studying in the Colleges A, B, C and D is 3 : 5 : 2 : 5. In College A, 40% of the total number of students are Junior College students. Out of the remaining, the respective ratio between the number of Graduate students and number of PG students is 5 : 4. In College B, $${2 \over 5}$$th of the total number of students are Junior College students. Out of the remaining, the respective ratio between the number of Graduate students and number of PG students is 5 : 3. In College C, 50% of the total number of students are Junior College students. Out of the remaining, $${5 \over 8}$$th are Graduate students and the remaining are PG students.In College D, 35% of the total number of students are Graduate students,$$ {8 \over {13}}$$th of the remaining students are Junior College students and the rest 1500 are PG students.What is the respective ratio between the total number of graduate students in College A and the total number of Graduate students in College B?
....