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larisa [96]
3 years ago
12

The caldwells are moving across the country. Mr Caldwell leaves 3 hours before Mrs Caldwell. If he averages 45 mph and she avera

ges 65 mph, how many hours will it take Mrs Caldwell to catch mr. Caldwell
Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

6 hours 45 minutes

Step-by-step explanation:

Let the time taken by Mr Caldwell to reach the same point as Mrs Caldwell =t

Mr Caldwell's Average Speed=45mph

Distance covered by Mr Caldwell = Speed X Time =45t

Mrs Caldwell left 3 hours later, so her time=t-3

Mrs Caldwell's Average Speed=65mph

Distance covered by Mrs Caldwell = Speed X Time =65(t-3)

Since they will be at the same point, it means their distance from starting point is the same, therefore:

45t=65(t-3)

45t=65t-195

65t-45t=195

20t=195

t=9.75 hours

It will take (t-3) hours to catch Mr Caldwell

t-3 = 9.75 - 3 =6.75 hours=6 hours 45 minutes

It will take 6 hours 45 minutes for Mrs Caldwell to catch Mr Caldwell

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x = [--14 +- sq root (14^2 -4*1*-15] / 2*1
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A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.a running track goes all the w
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a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

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b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

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c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

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