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ladessa [460]
3 years ago
5

Kyle started biking at a constant rate of 15 mph. Half an hour later, Kim followed on the same path at a constant rate of 18 mph

. For how long was Kim biking, before she caught up to Kyle?
Mathematics
2 answers:
Leno4ka [110]3 years ago
5 0

Answer:

Kim was biking for 2 and a half hours before she caught up Kyle.

Step-by-step explanation:

Due to Kyle is biking at a constant rate of 15mph, the equation that describes her position X_1 is:

X_1=15*t

Where t is the time in hours that Kyle has been biking.

Then, the equation that describes the position of Kim, X_2 is:

X_2=18*(t-0.5)

This equation applies for values of t that are bigger than half an hour, and it is formulate in this way because Kim starts half an hour later or 0.5 hours later than Kyle.

So, for know the time in hours in which Kyle and Kim have the same position we need to make X_1 equal to X_2 as:

X_1=X_2\\15*t = 18*(t-0.5)\\15*t = (18*t )- 9\\9 = (18*t )-(15*t)\\9= 3*t\\3 = t

So, after 3 hours, Kim caught up Kyle.

Taking into account that Kim starts half an hour later, the time that Kim was biking before she caught up Kyle is calculated as:

3 hours - 0.5 hours = 2.5 hours

Finally, Kim was biking for 2 and a half hours before she caught up Kyle.

lidiya [134]3 years ago
4 0
The answer is...

It would take kim approximately* dont know if I spelled it correctly* 2 hours 30 minutes to catch up with kyle.
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Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are
777dan777 [17]

Answer:

The inequality that models the situation for her to have money to save is

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L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

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Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

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7L² > 3(200L - L²)

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7L² > 3L(200 - L)

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7L > 3(200 - L)

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