It took Cindy 2 h to bike from Abbott to Benson at a constant speed. The return trip took only 1.5 h because she increased her speed by 6 km/h. How far apart are Abbott and Benson?
18 km
B.
28 km
C.
36 km
D.
24 km
2006-11-14 05:56:47 · 3 answers · asked by hillary banks 1 in Science & Mathematics ➔ Mathematics
You should do the question yourself, rather than cheat. Use your brain, you can figure out the answer.
2006-11-14 06:04:36 · answer #1 · answered by Anonymous · 0⤊ 0⤋
a) Convert the word problem into equations
2 hours * V km/h = T km
and
1.5 hours * (V+6) km/h = T km
b) solve the equations
(This text box is too small to contain all of the algebra and is left as an exercise for the person who posted the question.)
2006-11-14 14:18:55 · answer #2 · answered by RichardPaulHall 4 · 0⤊ 0⤋
Let x be speed on her first trip.
Then 2x=1.5(x+6), or 2x=1.5x+9, or .5x=9, or x=18.
So, the distance is 18*2=36, or C.
2006-11-14 14:21:27 · answer #3 · answered by yljacktt 5 · 0⤊ 0⤋