A bus travels in a level for 5 hours at an average speed of 20 miles per hour faster than it traveled on a winding road the time spend on the winding road was 2 hours find the average speed of the level road I’d the entire trip was 373 miles The bus speed of the level road ? Mph

Respuesta :

We will determine the average speed traveled in the level road as follows:

First, we remember that speed multiplied by time will give us the distance.

We also have that [With last statement] the equation described in the problem is:

[tex](x+20)(5)+(x)(2)=373[/tex]

Here, "x" is the average speed on the winding road, so we solve for it first:

[tex]\Rightarrow5x+100+2x=373\Rightarrow7x=273[/tex][tex]\Rightarrow x=39[/tex]

Now, that we have the average speed for the winding road we calculate the average speed for the level road:

[tex]v_l=39+20\Rightarrow v_l=59[/tex]

So, the average speed in the level road was 59 mph.