Question
A bus travels 1/3 of the distance initially at a speed
of 40 km/h, the next 1/3 of the distance 50 km/h, and the final 1/3 of the distance at 60 km/h. Find the average speed of the bus for the entire journey. (Rounded off to two decimal places)Solution
Let the total distance be D. Each segment is D/3. Time for each segment: {D/3}/40 = D/120 {D/3}/50 = D/150 {D/3}/60 = D/180 Total time = {D/120} + {D/150} + {D/180} = {37D/1800} Average speed = {D/{37D/1800}} = {1800/37} = approx 48.65 km/h
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
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