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John travels at (x – 20) km/hr, he takes (y + 5) hours to cover A km. He travels (x + 10) km/hr, he takes (y – 1) hours to cover A km. He travels at (x – 15) km/hr, he takes (y + 3) hours to cover A km. From the given statement which of the following can be determined? A. Value of A. B. Value of x. C. Value of y. D. Find the distance covered by him when he travels at (x + 5) km/hr for (y + 4) hours.

John travels at (x – 20) km/hr, he takes (y + 5) hours to cover A km. He travels (x + 10) km/hr, he takes (y – 1) hours to cover A km. He travels at (x – 15) km/hr, he takes (y + 3) hours to cover A km. From the given statement which of the following can be determined? A. Value of A. B. Value of x. C. Value of y. D. Find the distance covered by him when he travels at (x + 5) km/hr for (y + 4) hours. Correct Answer All of them

CALCULATION :

According to given statements:

(x – 20) × (y + 5) = A

(xy + 5x – 20y – 100) = A      ---- (1)

 

(x + 10) × (y – 1) = A

(xy – x + 10y – 10) = A      ---- (2)

 

(x – 15) × (y + 3) = A

(xy + 3x – 15y – 45) = A      ---- (3)

 

From equation 1 and 2:

(xy + 5x – 20y – 100) = (xy – x + 10y – 10)

⇒ 6x – 30y = 90 or

⇒ x – 5y = 15      ---- (4)

 

From equation 1 and 3:

(xy + 5x – 20y – 100) = (xy + 3x – 15y – 45)

⇒ 2x – 5y = 55      ---- (5)

 

From equation 4 and 5:

⇒ x = 40 and y = 5

 

Using options -

Option A: Value of A = (40 – 20) × (5 + 5) = 200 km

Option B: Value of x = 20

Option C: Value of y = 5

Option D:

Distance covered by him when he travels at (x + 5) km/hr for (y + 4) hours = 45 × 9 = 405 km

Hence, we can find all the options.

 

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