Question
Armaan is traveling at a speed of 40 km/h, and it takes
him 90 minutes to reach his office. However, after completing half of the journey, Armaan took a breakfast break of 15 minutes and then continued his journey. Determine the speed at which Armaan must cover the rest of the journey to reach his office in the original time.Solution
ATQ, Total distance to be covered = 40 × (90/60) = 60 km Time taken to cover half the distance at original speed = {(60 ÷ 2) ÷ 40} × 60 = 45 minutes Time remaining = 90 – 45 – 15 = 30 minutes Required speed = 30 ÷ 30 × 60 = 60 km/h
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
I: x² - 10x + 21 = 0 Â
II: 4y² - 16y + 15 = 0
I. x + 1 = 3√ 9261
II. y + 1 = √ 324
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 252 = 0
Equation 2: y² - 30y + 221 = 0
I. 10x2 + 33x + 9 = 0
II. 2y2 + 13y + 21 = 0
I.8(x+3)+ 8(-x)=72Â
II. 5(y+5)+ 5(-x)=150Â
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1�...
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