Problema Solution

It took Cindy 2h 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?

Answer provided by our tutors

Let v be the constant  speed when Cindy trabels from Abbott to Benson.

Let S be the distance between Abbott and Benson.

The return trip speed =(v+6).

2v+(1.5(v+6)=2S.

2v=1.5*(v+6).

2v=1.5v+9.

0.5v=9.

v=18 km/h.

2S=2*18+1.5(18+6).

=36+36.

S=72/2

=36 km.