Question
A person goes on a 500 km trip using car and plane. The
speed of the car is 80 km/h while the plane travels at 200 km/h. If 30% of the trip is by car, find the approximate average speed for the entire trip.Solution
ATQ,
Time taken by car = [(0.30 × 500)/80] = (150/80) = 1.875 hours
Time taken by plane = [(0.70 × 500)/200] = (350/200) = 1.75 hours
Average speed = [(Total distance)/(Total time)] = [500/(1.875 + 1.75)] = (500/3.625) ~ 138 km/h
I). p2 - 26p + 165 = 0
II). q2 + 8q - 153 = 0
I. 2x² - 12x + 16 = 0  Â
II. 4y² - 8y - 12 = 0  Â
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
I. 88x² - 13 x – 56 = 0
II. 15 y² + 41 y + 28 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 17x² - 78x + 61 = 0
Equation 2: 19y² - 89y + 70 ...
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
Solve: 3x² − 7x − 6 = 0
I. x² - 33x + 270 = 0
II. y² - 41y + 414 = 0
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 0
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