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3 years ago

Question 3

Mathematics

2 answers:

SashulF [63]3 years ago

5 0

Answer:

30 mph was the rate she was going

BigorU [14]3 years ago

3 0

Answer:

30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

x^2 -31x +30 = 0

(x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

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