Question 559649
monica drove to work on monday at 40 miles per hour and arrived one minute late. she left the same time on tuesday, drove at 45 miles per hour, and arrived one minute early. how far does monica drive to work?
Let time to be be taken to reach on time be t 
Let distance be x miles

monica drove to work on monday at 40 miles per hour and arrived one minute late.
x/40 = t+1/60
multiply by 120
3x=120t+2
3x-120t=2.................1

monica drove to work on Tuesday at 45 miles per hour and arrived one minute early.

x/45 = t-1/60
multiply by 180
4x = 180t-3
4x-180t=-3..................2
solve for x &t
Multiply (1)by 4 and (2)3

12x-480t=8

12x-540t=-9

60 t=17

t= 17/60
plug t 
x= 12 miles