Same topic4 marksDifficulty: Hard
The sum of the squares of two consecutive natural numbers is 313. Find the numbers.
Quadratic Equations
4 marksDifficulty: Hard
A train travels 300 km at a uniform speed. If the speed had been 5 km/h more, the journey would have taken 2 hours less. Find the original speed of the train.
Original Khojo Papers practice question — not from a past board paper.
Answer
25 km/h
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Let the original speed be x km/h. Then 300/x − 300/(x + 5) = 2, so 300 × 5 = 2x(x + 5) and x2 + 5x − 750 = 0. Factorising, (x + 30)(x − 25) = 0. Speed cannot be negative, so x = 25 km/h.
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