Class 9 Exam  >  Class 9 Questions  >  A body covers half of its journey with speed ... Start Learning for Free
A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey?
Most Upvoted Answer
A body covers half of its journey with speed of 60m/s and other half w...
Solution:

To find the average speed during the whole journey, we can use the formula:

Average speed = Total distance / Total time

Calculation of Total Distance:

Let's assume that the total distance covered by the body is "d". Then, the first half of the journey would be covered in "d/2" distance and the remaining half would also be covered in "d/2" distance.

Total distance = d/2 + d/2
Total distance = d

Calculation of Total Time:

To find the total time taken during the journey, we can use the formula:

Time = Distance / Speed

Time taken to cover the first half of the journey,
t1 = (d/2) / 60
t1 = d / 120

Time taken to cover the remaining half of the journey,
t2 = (d/2) / 40
t2 = d / 80

Total time taken for the journey,
Total time = t1 + t2
Total time = d/120 + d/80
Total time = (2d + 3d) / 240
Total time = 5d / 240

Calculation of Average Speed:

Now, we can substitute the values of total distance and total time in the formula of average speed.

Average speed = Total distance / Total time
Average speed = d / (5d/240)
Average speed = d * 240 / 5d
Average speed = 48 m/s

Therefore, the average speed during the whole journey is 48 m/s.

Explanation:

A body covers half of its journey with a speed of 60 m/s and the other half with a speed of 40 m/s. We have first calculated the total distance covered by the body which is equal to "d". Then, we have calculated the total time taken by the body to cover the whole journey. Finally, we have used the formula of average speed to find the average speed during the whole journey.
Community Answer
A body covers half of its journey with speed of 60m/s and other half w...
Average speed = total distance / total time... suppose half distance is D..... ==> t1 = D / V1 & t2= D / V2 ===> Average speed = D + D / t1 + t2===> = 2 D / [ ( D / V1 ) + ( D / V2 ) ] = 2 D / D [ ( 1 / V1 ) + ( 1 / V2 ) ]= 2 / [ ( 1 / 60 ) + ( 1 / 40 ) ]= 2 * 60 * 40 / 60 + 40 = 4800 / 100= 48 km / hr... IS THE YOUR ANSWERR 💯💯💯
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey?
Question Description
A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey?.
Solutions for A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? defined & explained in the simplest way possible. Besides giving the explanation of A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey?, a detailed solution for A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? has been provided alongside types of A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? theory, EduRev gives you an ample number of questions to practice A body covers half of its journey with speed of 60m/s and other half with speed of 40m/s. Find the averave speed during the whole journey? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

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