SOLUTION: It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott an

Question 523791: It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott and benson?
I would like to know how you would solve a problem like this using the distance formula: speed*time=distance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott and benson?
------
A to B DATA:
time = 2 hrs ; rate = r kmh ; distance = r*t = 2r km
----
B to A DATA:
time = 1.5 hrs; r+6 kmh ; distance = r*t = 1.5(r+6) km
----------------
Equation:
distance = distance
2r = 1.5(r+6)
2r = 1.5r + 9
0.5r = 9
r = 18 kmh
-----------
Distance from A to B = 2r = 2*18 = 36 km
================
=======================================
cheers,
Stan H.
RELATED QUESTIONS
It took Cindy 2 hours to bike from Abbott to Benson at a constant speed. The return trip (answered by richwmiller)

It took Cindy 2 hours to bike from Abbott to Benson at a constant speed. The return trip... (answered by Paul)

Hi please help me im clueless .... thank you soo muchh First is this you have to do... (answered by stanbon)

It took John 2 hours to bike from Dublin to Pickerington at a constant speed. The return... (answered by htmentor)

It took John 2.5 hours to run from Cinnaminson to Burlington Township at a constant... (answered by macston)

Isabella rode her bike at a constant speed. It took her 2 hours to travel 216km with the... (answered by richwmiller)

It took John 2.5 hours to run from Cinnaminson to Burlington Township at a constant... (answered by jorel1380)

A jet flew at an average speed of 640 mph from Los Angeles to Chicago. Because of head... (answered by Paul)

A jet flew at an average speed of 640 mph from Los Angeles to Chicago. Because of head... (answered by solver91311)