SOLUTION: Cyclist rode 4 miles at fair pace, stayd 2 long an had 2 triple his spd on way bak 2 make it home 4 dinner, if his total trip time was 1-1/3hrs, what was his spd(mph) in each direc

Hi,

Let x represent the speed on the way to, then 3x would be the return speed

d = r*t Or t = d/r

4mi/x = t to

4mi/3x = t for the return

Question states***

4/x + 4/3x = 4/3hrs  Multiplying each term by 3x so as all denominators = 1

12 + 4 = 4x

16 = 4x

4mph = x, the speed on the way to.   Return speed was 12mph  (3*4mph)



checking our answer

4/4 + 4/12 =  1 + 1/3 = 4/3hr