A car travels from town A to town B with a speed of 60 km/h and then returns back to A with a speed of 90km/h find
1) average speed for the whole journey
2) average velocity for the whole journey
Answers
Answered by
5
@ Hey friend.....
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Have a look for your answer in the above pic:----
Hope it will help you!!
Thanks!!!
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==============
Have a look for your answer in the above pic:----
Hope it will help you!!
Thanks!!!
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![](https://hi-static.z-dn.net/files/d3e/7ad38851fa700ed0c32cbeddd7bcd7f9.jpg)
sarrahtaherpatla:
Okay okay I get it now
Answered by
3
Hope u like my process
======================
Speed = distance/time
Time = distance/speed.
____________________
Let the total distance travelled be x.
So..
Time taken for travelling A to B=x/60 hr.
Time taken for travelling B to A = x/90 hr.
Average speed =
(total distance travelled) ÷ (total time taken)
![= \frac{x + x}{ \frac{x}{60} + \frac{x}{90} } \\ \\ = \frac{2x}{ \frac{3x + 2x}{180} } = \frac{2x}{5x} \times 180 \\ \\ = 2 \times 36 = 72 \: \: \: km \: \: {hr}^{ - 1} = \frac{x + x}{ \frac{x}{60} + \frac{x}{90} } \\ \\ = \frac{2x}{ \frac{3x + 2x}{180} } = \frac{2x}{5x} \times 180 \\ \\ = 2 \times 36 = 72 \: \: \: km \: \: {hr}^{ - 1}](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7Bx+%2B+x%7D%7B+%5Cfrac%7Bx%7D%7B60%7D++%2B++%5Cfrac%7Bx%7D%7B90%7D+%7D+++%5C%5C++%5C%5C+%3D++%5Cfrac%7B2x%7D%7B+%5Cfrac%7B3x+%2B+2x%7D%7B180%7D+%7D++%3D++%5Cfrac%7B2x%7D%7B5x%7D++%5Ctimes+180+%5C%5C++%5C%5C++%3D+2+%5Ctimes+36+%3D+72+%5C%3A++%5C%3A++%5C%3A+km++++%5C%3A++%5C%3A++%7Bhr%7D%5E%7B+-+1%7D+)
.
Total displacement = (x) +(-x) =0 km
Average velocity
= (total displacement)÷( time taken)
![= \frac{0}{ \frac{x}{60} + \frac{x}{90} } \\ \\ = 0 \: \: km \: \: {hr}^{ - 1} = \frac{0}{ \frac{x}{60} + \frac{x}{90} } \\ \\ = 0 \: \: km \: \: {hr}^{ - 1}](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7B0%7D%7B+%5Cfrac%7Bx%7D%7B60%7D++%2B++%5Cfrac%7Bx%7D%7B90%7D+%7D++%5C%5C++%5C%5C++%3D+0+%5C%3A++%5C%3A+km+%5C%3A++%5C%3A++%7Bhr%7D%5E%7B+-+1%7D+)
_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_
Hope this is ur required answer
Proud to help you
======================
Speed = distance/time
Time = distance/speed.
____________________
Let the total distance travelled be x.
So..
Time taken for travelling A to B=x/60 hr.
Time taken for travelling B to A = x/90 hr.
Average speed =
(total distance travelled) ÷ (total time taken)
.
Total displacement = (x) +(-x) =0 km
Average velocity
= (total displacement)÷( time taken)
_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_
Hope this is ur required answer
Proud to help you
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