It took a messenger 30 minutes to deliver a message from point a to point b. on the way back he reduced his speed by 1 mph and it took him 36 minutes to get back. find the speed with which the messenger was going from point a to point b.

6 mph

Explanation:

v=s/t

v= velocity, s= distance, t= time

s= v*t

You wil need to use the distance formula to write the equations and then, solve them:

s=v*30/60

s=1/2v ①

s= (v-1)*36/60

s=(v-1)*3/5 ②

1/2v=(v-1)*3/5

1/2v=3/5v-3/5

1/2v-3/5v=-3/5

-1/10v=-3/5

v=(-3/5)/(-1/10)

v=-30/-5

v = 6

The speed with which the messenger was going from point A to point B was 6 mph.