Alania wants to get to the bus stop as quickly as possible. The bus stop is across a grassy park, 1000 feet west and 400 feet north of her starting position. Alaina can walk west along the edge of the park on the side walk at a speed of 8ft/sec. She can also travel though the grass in the park; but only at a rate of 4 ft/sec. Required:
Compute the total time Alania takes to the bus stop when she walks diagonally across the park.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6

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6: 4= 3/2

18: 8= 9/4

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