What is my average speed if I travel x mph for m hrs and y mph for n hours?

Question

What is my average speed if I travel x mph for m hrs and y mph for n hours?

Answer 1

(xm + yn) / (m + n)

Answer 2

Average speed = average distance/ average time. Determine the distance travelled in each part.

Distance travelled when speed is x mph =x*m

Distance travelled when speed is y mph = y*n

Average of distance =( xm + yn)/2

Average time = (m+n)/2

Average speed = {(xm+yn)/2} / {(m+n)/2}

2 in each term cancel out and average speed is. ( Xm + Yn) / ( m + n ) mph