1.

Quantity 2: The greater value of y, if 2y2 - 83y + 861 = 01). Quantity 1 > Quantity 22). Quantity 1 ≤ Quantity 23). Quantity 1 ≥ Quantity 24). Quantity 1 < Quantity 2

Answer»

Quantity 1:

Let the speed of the slower car be x, so the time taken by the two cars is-

T1 = 350/x and t2 = 350/x + 5 

And the difference between the time is 2 hrs 20 minutes = 7/3 

⇒ 350/x - 350/x + 5 = 7/3 

Solving this we get ⇒ x2 + 5x - 750 

And solving this quadratic equation we get two values ⇒ - 30, 25 

∴ The speed of the slower car = 25 Km/h

Quantity 2:

2y2 - 83y + 861 = 0 

⇒ 2y2 - 41y - 42y + 861 = 0 

⇒ 2y(y- 21) - 41(y - 21) = 0 

⇒ (2y - 41)(y - 21) = 0 

⇒ y = 21, 20.5

∴ Quantity 1 > Quantity 2


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