Question
Download Solution PDFThe distance covered by a train in (5y - 1) hours is (125y3 - 1) km. The speed of the train is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The distance covered by a train in (5y - 1) hours is (125y3 - 1) km.
Concept used:
a3 - b3 = (a - b)(a2 + ab + b2)
Calculation:
Speed of the train
⇒ (125y3 - 1) ÷ (5y - 1)
⇒ \(\frac {(5y)^3 - 1}{(5y - 1)}\)
⇒ \(\frac {(5y - 1)(25y^2 + 5y + 1)}{(5y - 1)}\)
⇒ (25y2 + 5y + 1) km/h
∴ The speed of the train is (25y2 + 5y + 1) km/h.
Last updated on Jul 21, 2025
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