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Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each?
Verified Answer
Two cars leave Delhi at the same time travelling in opposite direction...
Let the speed of first car be x km/hr and second car be y km/hr
therefore, acc. to the question,
If the average speed of the car is 5 km/hr more than that of the other,then
x = y+5...(i)
and
when they are 425km apart at the end of 5 hrs at the end of 5 hrs, then
425 = 5y km + (5y+25)km
425 = 10y+25
425-25=10y
400=10y
or
y =40 km/hr
put in (i), we get,
x = 40+5
x= 45 km/hr
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
Two cars leave Delhi at the same time travelling in opposite direction...
Problem Statement:
Two cars leave Delhi at the same time, travelling in opposite directions. The average speed of one car is 5 km per hour more than that of the other. After 5 hours, they are 425 km apart. We need to find the average speed of each car.
Given:
- Two cars leave Delhi at the same time.
- They are travelling in opposite directions.
- The average speed of one car is 5 km per hour more than the other.
- After 5 hours, they are 425 km apart.
Solution:
Let's assume the average speed of one car as x km/hr and the average speed of the other car as (x + 5) km/hr.
Distance covered by the first car:
The distance covered by the first car in 5 hours is 5x km.
Distance covered by the second car:
The distance covered by the second car in 5 hours is 5(x + 5) km.
Since they are travelling in opposite directions, the total distance covered by both cars is equal to the sum of their distances.
Total distance covered:
Total distance covered = Distance covered by the first car + Distance covered by the second car
425 km = 5x + 5(x + 5)
Solving the equation:
425 km = 5x + 5x + 25
425 km = 10x + 25
425 km - 25 = 10x
400 km = 10x
40 km/hr = x
So, the average speed of the first car is 40 km/hr and the average speed of the second car is (40 + 5) km/hr, which is 45 km/hr.
Therefore, the average speed of each car is 40 km/hr and 45 km/hr, respectively.
Two cars leave Delhi at the same time, travelling in opposite directions. The average speed of one car is 5 km per hour more than that of the other. After 5 hours, they are 425 km apart. We need to find the average speed of each car.
Given:
- Two cars leave Delhi at the same time.
- They are travelling in opposite directions.
- The average speed of one car is 5 km per hour more than the other.
- After 5 hours, they are 425 km apart.
Solution:
Let's assume the average speed of one car as x km/hr and the average speed of the other car as (x + 5) km/hr.
Distance covered by the first car:
The distance covered by the first car in 5 hours is 5x km.
Distance covered by the second car:
The distance covered by the second car in 5 hours is 5(x + 5) km.
Since they are travelling in opposite directions, the total distance covered by both cars is equal to the sum of their distances.
Total distance covered:
Total distance covered = Distance covered by the first car + Distance covered by the second car
425 km = 5x + 5(x + 5)
Solving the equation:
425 km = 5x + 5x + 25
425 km = 10x + 25
425 km - 25 = 10x
400 km = 10x
40 km/hr = x
So, the average speed of the first car is 40 km/hr and the average speed of the second car is (40 + 5) km/hr, which is 45 km/hr.
Therefore, the average speed of each car is 40 km/hr and 45 km/hr, respectively.
Community Answer
Two cars leave Delhi at the same time travelling in opposite direction...
Thanks bhaiya
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Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each?
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Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each?.
Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars leave Delhi at the same time travelling in opposite direction if the average speed of one car is 5 km per hour more than that of the other and they are 425 km apart at the end of 5 hour what is the average speed of each?.
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