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Assoli18 [71]
3 years ago
15

Flying to England with a tailwind a plane averaged 158km/h one the return trip the plane only averaged 112 km/h while flying bac

k in the same wind. Fund the speed of the wind and the plane still in the air.
Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer: the speed of the plane in still air is 135 km/h

the speed of the wind is 23 km/h

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

Flying to England with a tailwind a plane averaged 158km/h. This means that the total speed of the plane is (x + y) km/h. Therefore,

x + y = 158 - - - - - - - - - - - - - -1

On the return trip, the plane only averaged 112 km/h while flying back in the same wind. This means that the total speed of the plane is (x - y) km/h. Therefore,

x - y = 112 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 270

x = 270/2 = 135 km/h

Substituting x = 135 into equation 2, it becomes

135 - y = 112

y = 135 - 112

y = 23 km/h

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Answer:

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Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 1<u>0</u>7  +  _26 = 826

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So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

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The covered digit is in the position of 4

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<u>4</u>26 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

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3 years ago
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Answer:

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Step-by-step explanation:

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