Class 10 Exam > Class 10 Questions > Places A and B are 100 KM apart on a highway ...
Start Learning for Free
Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ?
Most Upvoted Answer
Places A and B are 100 KM apart on a highway one car starts from A and...
Explanation:
Let the speed of the car starting from point A be x km/h and the speed of the car starting from point B be y km/h.
When they travel in the same direction:
Distance = 100 km
Time taken by car starting from A = 3 hours
Time taken by car starting from B = 5 hours
Let's calculate the distance traveled by both the cars in 1 hour:
Distance traveled by the car starting from A in 1 hour = x km/h
Distance traveled by the car starting from B in 1 hour = y km/h
Distance traveled by the car starting from A in 3 hours = 3x km
Distance traveled by the car starting from B in 5 hours = 5y km
As both the cars are traveling in the same direction, the relative speed of the cars = (y - x) km/h
Relative speed of the cars = Distance traveled by the car starting from A in 3 hours + Distance traveled by the car starting from B in 5 hours
(y - x) km/h = 3x + 5y
y - x = (3/5)x + y
x/5 = 2y/5
x = 2y
When they travel towards each other:
Distance = 100 km
Time taken = 1 hour
Relative speed of the cars = (x + y) km/h
Distance traveled by both the cars = Relative speed × Time taken
100 = (x + y) × 1
x + y = 100
We have two equations:
x = 2y
x + y = 100
Solving these equations, we get:
x = 40 km/h
y = 20 km/h
Therefore, the speed of the car starting from point A is 40 km/h and the speed of the car starting from point B is 20 km/h.
Let the speed of the car starting from point A be x km/h and the speed of the car starting from point B be y km/h.
When they travel in the same direction:
Distance = 100 km
Time taken by car starting from A = 3 hours
Time taken by car starting from B = 5 hours
Let's calculate the distance traveled by both the cars in 1 hour:
Distance traveled by the car starting from A in 1 hour = x km/h
Distance traveled by the car starting from B in 1 hour = y km/h
Distance traveled by the car starting from A in 3 hours = 3x km
Distance traveled by the car starting from B in 5 hours = 5y km
As both the cars are traveling in the same direction, the relative speed of the cars = (y - x) km/h
Relative speed of the cars = Distance traveled by the car starting from A in 3 hours + Distance traveled by the car starting from B in 5 hours
(y - x) km/h = 3x + 5y
y - x = (3/5)x + y
x/5 = 2y/5
x = 2y
When they travel towards each other:
Distance = 100 km
Time taken = 1 hour
Relative speed of the cars = (x + y) km/h
Distance traveled by both the cars = Relative speed × Time taken
100 = (x + y) × 1
x + y = 100
We have two equations:
x = 2y
x + y = 100
Solving these equations, we get:
x = 40 km/h
y = 20 km/h
Therefore, the speed of the car starting from point A is 40 km/h and the speed of the car starting from point B is 20 km/h.
Community Answer
Places A and B are 100 KM apart on a highway one car starts from A and...
ANSWER
Let the speed of car at A be x kmph
and the speed of car at B be y kmph
when the car travel in same direction Relative Speed is x−y
Dist=100km
t=5 hours
∴ Dist =S×T
100=(x−y)5
x−y=20⟶(I)
when car travel in opp direction Relative Speed is x+y
Dist=100km
t=1 hours
Dist=ST
100=(x+y)1
x+y=100⟶(II)
Solving (I) & (II)
x−y=20
x+y=100
2x=120
x=60km/h
y=40km/h
Speed of the car at A =60 km/h
Speed of the car at B=40 km/h
The difference of speeds is 60−40=20
Let the speed of car at A be x kmph
and the speed of car at B be y kmph
when the car travel in same direction Relative Speed is x−y
Dist=100km
t=5 hours
∴ Dist =S×T
100=(x−y)5
x−y=20⟶(I)
when car travel in opp direction Relative Speed is x+y
Dist=100km
t=1 hours
Dist=ST
100=(x+y)1
x+y=100⟶(II)
Solving (I) & (II)
x−y=20
x+y=100
2x=120
x=60km/h
y=40km/h
Speed of the car at A =60 km/h
Speed of the car at B=40 km/h
The difference of speeds is 60−40=20
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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ?
Question Description
Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ?.
Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ?.
Solutions for Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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 B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ? defined & explained in the simplest way possible. Besides giving the explanation of
Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ?, a detailed solution for Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ? has been provided alongside types of Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds of the two cars ? theory, EduRev gives you an
ample number of questions to practice Places A and B are 100 KM apart on a highway one car starts from A and another from B at the same time with the past travel in the same direction at different speeds 3 5 hours if they travel towards Each Other they meet in an hour what are the speeds 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup