Question
A train takes 25 seconds more to
cross a 750 metres long platform than it does to cross a 350 metres long bridge. If the time taken by the train to cross a tree is 18 seconds, find the speed of the train.Solution
ATQ,
Let the length of the train be 'x' metres. Let the speed of the train be 'y' m/s. According to the question: 
Therefore, the speed of the train is 16 m/s.
If (x2 + y2 + z2 - 4x + 6y + 13) = 0, then find the value of (x + y + z).
Given that x8-34x4+1=0, x>0. What is the value of (x3+ x-3)?
If (10 a³ + 4b³): (11a³ — 15b³) = 7:5, then (3a + 5b): (9a - 2b) = ?
If 125x3 - 64y3 = (Ax + By) (Dy2 - Cx2 + 20xy) , then the value of A + C - 2B + 3D is:
If (x 2 = 10x – 25), then find the value of [x³ + (x⁴/25)][7 - x³]
Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC = x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?
If x = (√13 + √12)/ (√13 - √12) and y = (√13 - √12)/(√13 + √12), then find the value of 4x2 – xy + 4y2.
...If x = 222, y = 223 and z = 224, then find the value of x³ + y³ + z³ – 3xyz
- If (x + y + z) = 14 and (xy + yz + zx) = 50, then find the value of (x² + y² + z²).
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