How can I find the total distance of a problem?

That's like asking "what's the energy?" I have no idea unless you give me the question.

Total distance of What?

Esther travelled to work @ an average speed of 45mi/hr.she returned through the same route @ an average speed of 30mi/hr.if total time taken for going and coming is 1hr, what is the distance covered by esther in the morning?

Esther travelled to work @ an average speed of 45mi/hr.she returned through the same route @ an average speed of 30mi/hr.if total time taken for going and coming is 1hr, what is the distance covered by esther in the morning?

ooladimeji: you should have started another thread for your question.

Use the distance formula:

Distance = Average\ Speed \times Time

Let x be the distance she covers in the morning, and t the time she takes to travel in the morning.

In the morning, x = 45 \times t

In the afternoon, x = 30 \times (1-t)

I used 1-t because together, the two times take one hour.

Then, solve those two equation simultaneously to find x.

I suggest you expand the brackets in the second equation, and use elimination to eliminate t, which you don't need to find.