SOLUTION: Jamie cycles 12 miles at a steady speed of x mph and then 25 miles at a steady speed of (x + 4) mph. Write down an expression, in terms of x, for the total time that Jamie ta

Question 808084: Jamie cycles 12 miles at a steady speed of x mph and then 25 miles at a steady speed of (x + 4) mph. Write down an expression, in terms of x, for the total time that Jamie takes.

The total time that Jamie takes is 2 hours. Form an equation in x and show that it simplifies to 2x^2-29x-48=0

Solve the equation 2x^2-29x-48=0 to find the speed x mph
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Sum of distances according to r*t=d,
and
and
Total Time is

Now given that x=2 hours, .
Does this match your equation?

Which is your equation as you found.

Is it factorable? Not sure, suspect not but maybe.
RESORT TO SOLUTION TO QUADRATIC FORMULA:

Look at , so just keep as the sqrt expression.

Compute to miles per hour.

Jamie went for the first 12 miles at 0.28 miles per hour, or about 0.413 feet per second.
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