Drove to work problem

[RockerChick]

Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same route and averaged 30mph.
If Esther spent a total of one hour commuting to and from work, how many miles did she drive to work in the morning?

 

[Mrspi]

Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same route and averaged 30mph.
If Esther spent a total of one hour commuting to and from work, how many miles did she drive to work in the morning?

distance = rate * time, and distance/rate = time.

Elizabeth drove to work at 45 mph. If we let d = the distance she drove, d /45 = time going to work.

Elizabeth drove home at 30 mph. She's driving a distance of "d" again, and d/30 = time returning from work.

We know that

time going to work + time returning from work = 1 hour

(d/45) + (d/30) = 1

Ok...now, it's your turn. Can you solve that for d?