Question

Jenny, Keith, and Joanna participated in a mini-

marathon. At the end of the marathon, Keith ran 3 miles
more than Jenny. Joanna ran two times more miles
than Keith. The three runners covered a total distance
of 16 miles. How many miles did each person run?
M

Answer 1

• Jenny 1.75 miles, Keith 4.75 miles, Jonna 9.5 miles

Explanation:

Distance per person:

• Jenny - x, Keith - y, Joanna - z

Equation as per given:

• y = x + 3
• z = 2y = 2(x + 3)
• x + y + z = 16

Substitute and solve for x:

• x + (x + 3) + 2(x + 3) = 16
• 2x + 3 + 2x + 6 = 16
• 4x = 7
• x = 7/4 = 1.75

Then

• y = 1.75 + 3 = 4.75
• z = 4.75*2 = 9.5