Class 10 Exam > Class 10 Questions > ?Places A and Bare 100km apart on a highway. ...
Start Learning for Free
Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?
Most Upvoted Answer
?Places A and Bare 100km apart on a highway. One car start s from A an...
Exercise 3.5 k solutions m apko iska solution Bhi mil jaayga I hope it will help you
Community Answer
?Places A and Bare 100km apart on a highway. One car start s from A an...
**Problem Analysis**
Let's assume the speed of the car starting from point A is 'x' km/h and the speed of the car starting from point B is 'y' km/h.
We are given two scenarios:
1. When the cars travel in the same direction, they meet in 5 hours.
2. When the cars travel towards each other, they meet in 1 hour.
**Solution**
Let's solve the two scenarios to find the speeds of the cars.
**Scenario 1: Cars Traveling in the Same Direction**
When the cars travel in the same direction, their relative speed is the difference between their speeds. So, the relative speed of the cars is (x - y) km/h.
Given that they meet in 5 hours, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 5 km
Distance traveled by the car starting from point B = y * 5 km
Since the total distance between A and B is 100 km, we can write:
x * 5 + y * 5 = 100
Simplifying the equation, we get:
x + y = 20 --(1)
**Scenario 2: Cars Traveling Towards Each Other**
When the cars travel towards each other, their relative speed is the sum of their speeds. So, the relative speed of the cars is (x + y) km/h.
Given that they meet in 1 hour, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 1 km
Distance traveled by the car starting from point B = y * 1 km
Since the total distance between A and B is 100 km, we can write:
x * 1 + y * 1 = 100
Simplifying the equation, we get:
x + y = 100 --(2)
**Solving the Equations**
We have two equations:
x + y = 20 --(1)
x + y = 100 --(2)
Subtracting equation (1) from equation (2), we get:
100 - 20 = x + y - x - y
80 = 0
This is not possible. The equations are contradictory, which means there is no solution to the problem.
Hence, there are no valid speeds for the two cars that satisfy both scenarios.
Let's assume the speed of the car starting from point A is 'x' km/h and the speed of the car starting from point B is 'y' km/h.
We are given two scenarios:
1. When the cars travel in the same direction, they meet in 5 hours.
2. When the cars travel towards each other, they meet in 1 hour.
**Solution**
Let's solve the two scenarios to find the speeds of the cars.
**Scenario 1: Cars Traveling in the Same Direction**
When the cars travel in the same direction, their relative speed is the difference between their speeds. So, the relative speed of the cars is (x - y) km/h.
Given that they meet in 5 hours, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 5 km
Distance traveled by the car starting from point B = y * 5 km
Since the total distance between A and B is 100 km, we can write:
x * 5 + y * 5 = 100
Simplifying the equation, we get:
x + y = 20 --(1)
**Scenario 2: Cars Traveling Towards Each Other**
When the cars travel towards each other, their relative speed is the sum of their speeds. So, the relative speed of the cars is (x + y) km/h.
Given that they meet in 1 hour, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 1 km
Distance traveled by the car starting from point B = y * 1 km
Since the total distance between A and B is 100 km, we can write:
x * 1 + y * 1 = 100
Simplifying the equation, we get:
x + y = 100 --(2)
**Solving the Equations**
We have two equations:
x + y = 20 --(1)
x + y = 100 --(2)
Subtracting equation (1) from equation (2), we get:
100 - 20 = x + y - x - y
80 = 0
This is not possible. The equations are contradictory, which means there is no solution to the problem.
Hence, there are no valid speeds for the two cars that satisfy both scenarios.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?
Question Description
?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?.
?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?.
Solutions for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? defined & explained in the simplest way possible. Besides giving the explanation of
?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?, a detailed solution for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? has been provided alongside types of ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? theory, EduRev gives you an
ample number of questions to practice ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup