Question

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Answer 1

Answer:

B.  y = 2.5

Step-by-step explanation:

Diane's average speed=  25/y  km/h.

Ed's speed= (25/y) - 6 km/h.

Ed walks 25-3 = 22 km.

Consider Ed's journey:

Speed = distance / time so:

(25/y) - 6  = 22 / (y + 3)    ( 3 hours longer = y + 3)

(25 /y - 6)(y + 3) = 22

25 + 75/y - 6y - 18 = 22

6y - 75/y = 25 - 18 - 22

6y - 75/y + 15 = 0

6y^2 + 15y - 75 = 0

2y^2 + 5y - 25 = 0

(2y - 5 )(y + 5) = 0

y = 2.5, -5.

y = 2.5   ( as it must be positive.