Question

a long distance trucker traveled 64miles in one direction during a snow strom. the return trip in rainy weather was accomplished at double the speed and took 2 hours less time. find the speed going.

Answer 1

Hi! The easiest way to solve this to to try dividing 64 by manageable numbers (dividing 64 by simple numbers will give you the speed). I tried dividing 64/20 for the first part of the journey and then 64/40 for the second half of the journey, but I did not get 2 hours less, instead I got 1.6 and 3.2--Do you see that I am getting doubles? So, now I try a factor of 64. I tried 16 and 32 mph. So, 64/16= 4 and 64/32=2. Do you see 4 is a double of 2? So, not only do I have double the speed, but double the hours! There you go !