Jaun drives to work. he averages 22mph,

he returnes home averaging 32mph. total travel time is 2.25 hours.
a. define a variable for the time Jaun takes to travel to work. write an exprension for the time it takes to return home.
b. write and solve an equation to find the time Jaun spends driving to work.

1 answer

Let d be the distance, t1 time to work, t2 the time to come back.

d=22*t1
d=32*t2 or
22t1=32t2 or
t1=32t2/22= 16/11 t2

t1+t2=2.25hrs

16/11 t2+t2= 2.25 solve for t1, then go back and solve for t1.