Let p be the speed of man in kmph

According to the given data in the question,

Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction

=> 20 x 10/60 = 8/60 (20 + p)

=> 200 = 160 + 8p

=> p = 40/8 = 5 kmph.

Land prices in the East were getting too expensive, and the West (Great Plains) offered an opportunity for more people to own land. Although the area suffered from extreme weather and poor soils, many people decided to take the risk and venture to the Great Plains. The government was also committed to supporting those who decided to make the move.

Settlers moved to the Great Plains for several reasons. One reason was the government was offering 160 acres of land for free if the settler agreed to live on the land for five years. This was part of the Homestead Act of 1862.

Some people went to the Great Plains when they heard there were minerals in the region. Gold was one mineral found in the Great Plains region. People hoped to make a lot of money by mining gold.

Let workdone 1 boy in 1 day be b

and that of 1 girl be g

From the given data,

4(5b + 3g) = 23

20b + 12g = 23 .......(a)

2(3b + 2g) = 7

6b + 4g = 7 ........(b)

Solving (a) & (b), we get

b = 1, g = 1/4

Let number og girls required be 'p'

6(7 x 1 + p x 1/4) = 45

=> p = 2.

Hence, number of girls required = 2

The three statements make up the cell theory are::

1. All living things are made up of cells.

2. Cells are the basic unit of structure/function in living things.

3. New cells come frome exisiting cells.

These cells can vary widely, but all living things are composed of cells.

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

$$\begin{gathered} 96 \\ 96 - 12 = 95 \\ 95 - 23 = 95 - 8 = 87 \\ 87 - 32 = 87 - 9 = 78 \\ 78 - 43 = 78 - 64 = 14 \end{gathered}$$

Hence, the next number in the given number series is 14.

The given statement that a calorie is another term for carbohydrate is False.

Carbohydrates are one of the main types of nutrients, and are most important source of energy.

Where as Calorie is a measurement of how much heat energy is generated by the body processing food.

Your digestive system changes carbohydrates into glucose(blood sugar). Your body uses this sugar for energy. 

Geothermal power plants are used in order to generate electricity by the use of geothermal energy (the Earth's internal thermal energy). They essentially work the same as a coal or nuclear power plant, the main difference being the heat source.

Geothermal power plants use hydrothermal resources that have both water (hydro) and heat (thermal). Geothermal power plants require high-temperature (300°F to 700°F) hydrothermal resources that come from either dry steam wells or from hot water wells.