Question
Ramesh walked 6 km to reach the station from his house,
then he boarded a train whose average speed was 60 km/h and thus he reached his destination. In this way he took a total time of 3 hours. If the average speed of the entire journey was 32 km/h then the average speed of walking is:Solution
ATQ, we can say that Total distance covered by Ramesh = 32 × 3 96 km Average speed of train = 60 km/hr Let the time taken by train be x hrs distance covered by train = 60 × x Now, According to the question 6 + 60 × x = 32 × 3 6 + 60x = 96 60x = 96 – 6 60x = 90 x = 90/60 x = 1.5 hrs Time taken by Ramesh to cover 6 km distance = 3 – 1.5 = 1.5 hrs Walking speed of Ramesh = Distance/ time = 6/1.5 = 4 km/hr ∴ Average speed of walking is 4 km/hr
I. p2 - 19p + 88 = 0  Â
II. q2Â - 48q + 576 = 0
What will be the product of smaller roots of both equations.Â
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 27x6-152x3+125=0
II. 216y6Â -91y3+8=0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. x2-2x- √5x+2√5 = 0
II. y2-√3 y- √2 y+ √6 = 0
...I. 2x2 – 25x + 33 = 0
II. 3y2 + 40y + 48 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...
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