Red riding hood drives the 432 miles to grandmother’s house in 1 hour less than it takes the wolf to drive the same route. her average speed is 6 mph faster than the wolf’s average speed. how fast does red riding hood drive? a. 48 mph c. 50 mph b. 54 mph d. 45 mph select the best answer from the choices provided a b c d

option A

Explanation:

given,

distance = 432 mile

time taken by wolf = t   hr

time taken by Red Riding Hood  = t - 1   hr

speed of wolf = s

speed of Red Riding Hood  = s + 6

we know,

distance = s x t

432 mile = st......(1)

for Red Riding Hood

432 = (s + 6)(t-1)

432 =st + 6 t - s -6

432 =432 + 6 t - s -6

6 t - s  = 6

putting value in equation (1)

s² + 6 s - 2592 = 0

solving the above equation using quadratic formula

s = 48 mph

hence, the correct answer is option A

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