Atruck with a heavy load drove from boston to new york at 45 mph. after unloading, it returned from new york to boston at a speed of 65 mph. what was its average speed for the whole trip?

average speed = 53.1818181818

Step-by-step explanation:

The journey from Boston to New York  and New York to Boston covers the same distance. Therefore let the distance be x.

Boston to New York

speed = distance / time

45 = x/time

time = x/45

New York to Boston

speed = distance / time

time = x/65

total time for the journey =  x/45 + x/65 = (13x + 9x)/585 = 22x/585

total distance = 2x

average speed = total distance/total time

average speed = 2x  ×  585/22x

average speed = 585/11

average speed = 53.1818181818

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

idk

step-by-step explanation: