Mr.shan drove from his home to Springfield at 45 mi/h. On the return trip, he averaged 55 mi/h. He traveled a total of 6h. How far is his home from Springfield?

Question

I would appreciate it if I learn to solve this simply 

Answer 1

If the time he traveled from his home to Springfield is x hours, then the time for the return trip is 6-x

 

The distance is the same both ways.

 

Distance=time*speed

 

Therefore

 

45*x=55(6-x)

 

45x=330-55x

 

100x=330

 

x=3.3 hours

 

Distance=45*3.3=148.5 miles

 

You can check if this works for the other formula which was 55(6-x)=55(6-3.3)=55*2.7=148.5 miles