Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > Two motorists met at 10 a.m. at the Dadar rai...

Join for Free

Join for Free

Verified Answer

Two motorists met at 10 a.m. at the Dadar railway station. After their...

The Distance can be shown as the hypotenuse of a right angle triangle. Now, we need to find the Pythagoras Triplet suitable for this. And 18, 24, 30 would be the required triplets.

So, Speed of the slower motorist = 18 kmph.

This question is part of UPSC exam. View all CAT courses

Most Upvoted Answer

Two motorists met at 10 a.m. at the Dadar railway station. After their...

Problem Statement
Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h.

Solution
Let us assume that the speed of the slower motorist is x km/h. Therefore, the speed of the faster motorist is (x+6) km/h (given that the difference of their speeds is 6 km/h).

Distance covered by the slower motorist in 2 hours (from 10 a.m. to noon) = 2x km
Distance covered by the faster motorist in 2 hours (from 10 a.m. to noon) = 2(x+6) km

Let us assume that the distance between the two motorists at 10 a.m. was d km. Therefore, using Pythagoras theorem, we can say that:

d^2 = (2x)^2 + (2(x+6))^2 = 4x^2 + 4(x+6)^2

After 2 hours (i.e., at noon), the distance between the two motorists is 60 km. Therefore, using Pythagoras theorem, we can say that:

60^2 = (d + 2x)^2 + (d + 2(x+6))^2 = 2d^2 + 8x^2 + 8(x+6)^2 + 8d(x+6) + 8d(x)

Now, we have two equations with two variables (x and d). Solving these equations simultaneously, we get:

d = 90 km and x = 9 km/h

Therefore, the speed of the slower motorist is 9 km/h.

Answer: Option C (9 km/h)

Answered by Wizius Careers · View profile

View all answers Start learning for free

Explore Courses for CAT exam

Similar CAT Doubts

Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h.

View answer

Between 2004 and 2008, Indian Railways has not been able to perform to its potential. Normally, Railwaysrevenue grows by two percentage points higher than the growth of Indian economy. According to Railwaysown statistics, its revenues growth rate was two percentage points lower than the growth rate of Indian GDP in each of these four years. The main problem is a severe capacity constraint that does not allow the Railways to carry more freight even when there is demand. Freight traffic has grown by an average of over 9 percent in the last four years but in order to grow further the railways have to concentrate on infrastructure development. The central government recently set up the National Transport Development Policy Committee to suggest measures to promote greater commercial orientation of transport services in the country.The committee is chaired by Dr. Rakesh Mohan, former deputy governor, Reserve Bank of India, who earlier headed the expert group on Railways that recommended corporatisation of the railway administration in 2002. This might be the right time for the government to consider taking a second look at railway reforms. A senior officer concerned with transport infrastructure planning in the country said that the committee was likely to recommend a few measures in the direction of railway reforms and that there would soon be consultations in this regard with policy-makers and experts.This would not be a moment too soon. Railways desperately needs to grow its revenues because its expenses have shot up. Its ordinary working expenses grew by 7.3 percent in the years between 2004-05 and 2007-08, but jumped by 32 percent in the next year on account of the pay commission. A newspaper report pointed out that the railway surplus too has dwindled to Rs. 1 crore from over Rs 4,400 crore the last fiscal.The Indian Railways is at a crossroad where business as usual is not sustainable in the long run. If Railways has to be protected as the countrys growth wagon, transformation of the governance structure and augmentation of the accountability levels for delivery and performance is a must, says infrastructure expert Akhileshwar Sahay who has studied railway reforms across the world. So what can Railways do? Experts on railway restructuring around the world say that a mix of reforms done in Japan and Argentina could solve key problems. There are a couple of problem areas that need attention right away . Some of these can be solved through Japanese style reforms (for administration) while the others will need the Argentinean method (exit non-core businesses).Q. The Indian Railways is at a crossroad where business as usualjs not sustainable in the long run. implies

View answer

Between 2004 and 2008, Indian Railways has not been able to perform to its potential. Normally, Railwaysrevenue grows by two percentage points higher than the growth of Indian economy. According to Railwaysown statistics, its revenues growth rate was two percentage points lower than the growth rate of Indian GDP in each of these four years. The main problem is a severe capacity constraint that does not allow the Railways to carry more freight even when there is demand. Freight traffic has grown by an average of over 9 percent in the last four years but in order to grow further the railways have to concentrate on infrastructure development. The central government recently set up the National Transport Development Policy Committee to suggest measures to promote greater commercial orientation of transport services in the country.The committee is chaired by Dr. Rakesh Mohan, former deputy governor, Reserve Bank of India, who earlier headed the expert group on Railways that recommended corporatisation of the railway administration in 2002. This might be the right time for the government to consider taking a second look at railway reforms. A senior officer concerned with transport infrastructure planning in the country said that the committee was likely to recommend a few measures in the direction of railway reforms and that there would soon be consultations in this regard with policy-makers and experts.This would not be a moment too soon. Railways desperately needs to grow its revenues because its expenses have shot up. Its ordinary working expenses grew by 7.3 percent in the years between 2004-05 and 2007-08, but jumped by 32 percent in the next year on account of the pay commission. A newspaper report pointed out that the railway surplus too has dwindled to Rs. 1 crore from over Rs 4,400 crore the last fiscal.The Indian Railways is at a crossroad where business as usual is not sustainable in the long run. If Railways has to be protected as the countrys growth wagon, transformation of the governance structure and augmentation of the accountability levels for delivery and performance is a must, says infrastructure expert Akhileshwar Sahay who has studied railway reforms across the world. So what can Railways do? Experts on railway restructuring around the world say that a mix of reforms done in Japan and Argentina could solve key problems. There are a couple of problem areas that need attention right away . Some of these can be solved through Japanese style reforms (for administration) while the others will need the Argentinean method (exit non-core businesses).Q. What is the main problem of the Railways according to the passage?

View answer

Direction: In each question below a statement is given followed by two assumptions numbered I and II.Q. Statement The highway police authority put up large boards at regular intervals indicating the speed limit and dangers of over speeding on the highways.AssumptionsI. Most of the motorists may drive their vehicles within the speed limit on the highways.II. Motorists. generally ignore such cautions and over speed on the highways.

View answer

Between 2004 and 2008, Indian Railways has not been able to perform to its potential. Normally, Railwaysrevenue grows by two percentage points higher than the growth of Indian economy. According to Railwaysown statistics, its revenues growth rate was two percentage points lower than the growth rate of Indian GDP in each of these four years. The main problem is a severe capacity constraint that does not allow the Railways to carry more freight even when there is demand. Freight traffic has grown by an average of over 9 percent in the last four years but in order to grow further the railways have to concentrate on infrastructure development. The central government recently set up the National Transport Development Policy Committee to suggest measures to promote greater commercial orientation of transport services in the country.The committee is chaired by Dr. Rakesh Mohan, former deputy governor, Reserve Bank of India, who earlier headed the expert group on Railways that recommended corporatisation of the railway administration in 2002. This might be the right time for the government to consider taking a second look at railway reforms. A senior officer concerned with transport infrastructure planning in the country said that the committee was likely to recommend a few measures in the direction of railway reforms and that there would soon be consultations in this regard with policy-makers and experts.This would not be a moment too soon. Railways desperately needs to grow its revenues because its expenses have shot up. Its ordinary working expenses grew by 7.3 percent in the years between 2004-05 and 2007-08, but jumped by 32 percent in the next year on account of the pay commission. A newspaper report pointed out that the railway surplus too has dwindled to Rs. 1 crore from over Rs 4,400 crore the last fiscal.The Indian Railways is at a crossroad where business as usual is not sustainable in the long run. If Railways has to be protected as the countrys growth wagon, transformation of the governance structure and augmentation of the accountability levels for delivery and performance is a must, says infrastructure expert Akhileshwar Sahay who has studied railway reforms across the world. So what can Railways do? Experts on railway restructuring around the world say that a mix of reforms done in Japan and Argentina could solve key problems. There are a couple of problem areas that need attention right away . Some of these can be solved through Japanese style reforms (for administration) while the others will need the Argentinean method (exit non-core businesses).Q. A suitable title for this passage would be

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

CAT Mock Test Series 2025

Crash Course for CAT

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

Share with a Friend

Answer this doubt

Question Description
Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h?.

Solutions for Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? defined & explained in the simplest way possible. Besides giving the explanation of Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h?, a detailed solution for Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? has been provided alongside types of Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? theory, EduRev gives you an ample number of questions to practice Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h. A) 28 km/h B) 18 km/h C) 9 km/h D) 19 km/h? tests, examples and also practice CAT tests.

Explore Courses for CAT exam