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ira [324]
1 year ago
14

2 hours after a freight train leaves delhi a passenger train leaves the same station traveling in the same direction at an avera

ge speed of 16 km/hr. After traveling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?.
Mathematics
1 answer:
insens350 [35]1 year ago
5 0

The average speed of the freight train was 10.67 km/hr.

<h3>What is average speed?</h3>

The average speed is the total distance traveled by the object in a particular time interval.

Now it is given that,

Average speed of the passenger train = 16 km/hr

Time taken by passenger train to overtake the freight train = 4 hours

So, the distance between two trains = Average speed of the passenger train * Time taken by passenger train overtake the freight train

⇒ distance between two trains = 16 * 4 = 64 km

Thus, Distance to be covered by freight train = 64 km

Since, freight train leaves the same station in the same direction after 2 hours.

Hence, total time taken to cover 64 km by freight train = 2 + 4

                                                                                             = 6 hours

⇒ Average speed of the freight train = Distance covered by freight train/total time taken to cover 64 km

⇒ Average speed of the freight train = 64/6 km/hr

⇒ Average speed of the freight train = 32/3 km/hr

or, Average speed of the freight train = 10.67 km/hr

Thus, the average speed of the freight train was 10.67 km/hr.

To learn more about average speed:

brainly.com/question/14556289

#SPJ4

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Area of a rectangle is 81 m^2. Express the perimeter of the rectangle as a function of the length (L) of one of its sides
LuckyWell [14K]

Answer:

P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m

Step-by-step explanation:

We are given the following in the question:

Area of rectangle = 81 square meter.

Let l be the length of the rectangle and b be the breadth of rectangle.

Then, we can write,

\text{Area of rectangle} = \text{Length}\times \text{breadth}\\A = l\times b\\81 = l\times b\\\\b = \dfrac{81}{l}~m

Perimeter of rectangle =

2(\text{Lenght + Breadth})

Putting values, we get,

P = 2(l + b)\\P = 2(l + \dfrac{81}{l})\\\\P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m

6 0
4 years ago
Add 5 over 3 + 2 over 4 =
Leokris [45]

Answer:

exact form: 13 over 6

decimal form: 2.16

mixed number form: 2/ 1 over 6

7 0
4 years ago
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The lengths of the sides of a triangle are in the extended ratio 6 ​: 7 ​: 9. The perimeter of the triangle is 44 cm. What are t
Dimas [21]

Add 6+7+9, which gives 22.

Divide 44 by 22, which is 2.

Multiply the ratio by 2:

(6 : 7 : 9) * 2 = 12 : 14 : 18

The lengths of the sides are 12cm, 14cm, 18cm.

4 0
4 years ago
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and
seropon [69]

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

(x,y) = (2,-2)

The equations

7x + 9y = ?

5x - 2y = ?

Dimitri's Solution

Equation\ 1: 7x + 9y = -4.

7(2) + 9 (-2) = -4.

14 + (-18) = -4.

-4 = -4.

Equation\ 2: 5x -2y = 6.

5(2) - 2 (-2) = 6.

10 - 4 = 6.

6 = 6.

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

5x - 2y

and

(x,y) = (2,-2)

Substitute x = 2 and y = -2

So, we have:

5(2) -2(-2)

Open bracket

10 +4

Finally, we have:

14

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3 years ago
10) Find the Greatest Common Factor between the two given numbers.<br> 8.10
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Answer: GCF(8,10) = 2

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Factors of 8

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