distance = rate x time

d = rt

rate = distance/time

t = local racer's time

t - 3 = Bernard's time

120 105

----- = 2( -------) Bernard's rate is twice as fast as local racer's rate

t - 3 t

120 210

----- = ------ multiplied by 2

t - 3 t

120t = 210t - 630 cross-multiplied

-90t = -630 subtracted 210t

t = 7 divided by -90

t - 3 = 4 substituted

**local racer's time is 7
**

Bernard's time is 4

120/(t - 3) = Bernard's rate

= 120/4

=

**30 is Bernard's rate**105/t = local racer's rate

= 105/7

=

**15 is local racer's rate***McGenius*

**
**