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  • In drilling world’s deepest hole it was found that the temperature T in degree Celsius, x km below the earth’s surface was given by T equal 30 plus 25 x-3 , 3 less than equal to x less than equal to 15 At what l the temperature be between 155°C and 205°

In drilling world’s deepest hole it was found that the temperature T in degree Celsius, x km below the earth’s surface was given by T = 30 + 25 (x – 3), 3 ≤ x ≤ 15. At what depth will the temperature be between 155°C and 205°C?

Answers (1)

Given:

T = 30 + 25 (x – 3), 3 \leq x\leq 15

Where, T = temperature

x = depth inside earth

It is also given that T should be between 155?C & 205?C

Thus,

155 < T < 205

155 < 30 + 25 (x – 3) < 205

155 < 30 + 25x – 75 < 205

155 < 25x – 45 < 205

Now, we will add 45 to each term,

We get,

200 < 25x < 250

Now, on dividing each term by 25, we get,

8 < x < 10

Therefore, at a depth of 8-10 km, temperature varies from 1550C to 2050C.

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