Question
Two trains, 'P' and 'Q', begin their journey from
stations 'A' and 'B' at the same time, heading towards each other. The total distance between stations 'A' and 'B' is 800 km. Train 'P' travels at a speed of 16 km/h, while train 'Q' travels at a speed of 48 km/h. What is the distance from station 'A' to the point where the two trains will meet?Solution
Let the distance from ‘A’ where two trains will meet each other be ‘x’ km Therefore, (x/16) = (800 – x)/48 Or, 3x = 800 – x Or, 4x = 800 Or, x = 200 Therefore, both trains will cross each other at a distance of 200 km from station ‘A’.
More Trains Questions
I. 12 x ² - 3 x – 15 = 0
II. 2 y² + 12
Between what values of x is the expression 19x - 2x2 - 35 positive?
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
I. 2b2 + 31b + 99 = 0
II. 4a2 + 8a - 45 = 0
I. 77x² - 25x – 72 = 0
II. 42y² + 13y – 42 = 0
Solve the given two equations and answer the two questions that follow as per the instructions given below.
I. (1/4) + 7.5p(-2) = 3.62...
I. √(17x) + √51 = 0
II. √(4y) + 3 = 0
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