Question

PLEASE HELP!!! PLEASE!!!

Answer 1

Answer:

Average speed = $\frac{(x+y)}{2}$ miles per hour

Step-by-step explanation:

Formula to calculate the average speed of an object is,

Average speed = $\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}$

If I travel with the speed of x mph for t hours,

Total distance covered = Speed × Time

                                       = $x\times t$

                                       = $xt$ miles

Similarly, if I travel with the speed y mph for t hours,

Total distance covered = $yt$ miles

Total distance covered by me = $(xt+yt)$ miles

Total time taken to cover this distance = $t+t$

                                                                 = $2t$ hours

Therefore, expression for the average speed will be,

Average speed = $\frac{xt+yt}{2t}$

                          = $\frac{(x+y)t}{2t}$

                          = $\frac{x+y}{2}$ miles per hour