a cyclist went 1km up a hill at 15km per hour then she went
a cyclist went 1km up a hill at 15km per hour then she went down the hill at 30km per hour show that her average speed for the 2km was 20km per hour
Solution
D=RT
 2=20T
 T=2/20
 T=.1 HOUR.
 1=15*X
 1=30(.1-X)
 15X=30(.1-X)
 15X=3-30X
 15X+30X=3
 45X=3
 X=3/45
 X=.0666 ANS FOR THE TIME GOING UP THE MOUNTAIN.
 .1-.0666=.0334 ANS. FOR THE MINUTES DOWN THE MOUNTAIN.
 PROOF:
 15*.0666=30(.1-.0666)
 1=30*.0334
 1=1

