Algebra Demystified 2nd Ed

438 algebra De mystif ieD

✔SOLUTIONS

1. Let t represent the number of hours each has traveled. The plane’s
   distance after t hours is 200t and the car’s distance is 45t.

a = 45t

b = 200tc =164 (45t) 2 a+ (200^2 + b^2 t= ) 2 c= 164^22

FIGURE 11-6

()()

,,

,

45 200 164

2025 40 000 26 896

42 025

222

22

tt

tt

+=

+=

tt

t

t

t

2

2

26 896

26 896

42 025

26 896

42 025

080

=

=

=

=

, , , , ,.

The car and plane will be 164 miles apart after 0.80 hours or 48 minutes.