UPSC Exam  >  UPSC Questions  >  The distance between two towns is 300 km 2 ca... Start Learning for Free
The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars?
Most Upvoted Answer
The distance between two towns is 300 km 2 cars start simultaneously f...
Given Information
- Distance between two towns: 300 km
- Speed difference between the two cars: 7 km/h
- Distance between the cars after 2 hours: 34 km

Let’s Define Variables
- Let the speed of the slower car be \( x \) km/h.
- Therefore, the speed of the faster car will be \( x + 7 \) km/h.

Calculating the Combined Distance Covered
- In 2 hours, the distance covered by the slower car is \( 2x \) km.
- The distance covered by the faster car is \( 2(x + 7) \) km.

Finding Combined Distance
- Total distance covered by both cars in 2 hours:
\[
2x + 2(x + 7) = 2x + 2x + 14 = 4x + 14 \text{ km}
\]
- The distance between the cars after 2 hours is given as 34 km. Thus:
\[
300 - (4x + 14) = 34
\]

Simplifying the Equation
- Rearranging the equation:
\[
300 - 34 = 4x + 14
\]
\[
266 = 4x + 14
\]
- Solving for \( x \):
\[
4x = 266 - 14
\]
\[
4x = 252
\]
\[
x = 63 \text{ km/h}
\]

Finding the Speeds of Both Cars
- Speed of the slower car: \( x = 63 \) km/h
- Speed of the faster car: \( x + 7 = 70 \) km/h

Final Speeds
- The speed of the slower car is **63 km/h**.
- The speed of the faster car is **70 km/h**.
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars?
Question Description
The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars?.
Solutions for The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? defined & explained in the simplest way possible. Besides giving the explanation of The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars?, a detailed solution for The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? has been provided alongside types of The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? theory, EduRev gives you an ample number of questions to practice The distance between two towns is 300 km 2 cars start simultaneously from these two towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 km find the speed of the cars? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev