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Multiplication and Division of Rational Numbers

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Question

A train covers a distance of $670 km$ in $6 h 5 min$ . If it covers the first $390 km$ of the journey at $90 km/h$ , find its speed for the rest of the journey.

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Solution

Time taken to cover $390 km$ is $\frac{390 k m}{90 k m / h} = 4 h 20 min$
Remaining distance $= 670 - 390 = 280 k m$
Remaining time $= 6 h 5 m i n - 4 h 20 m i n = 45 m i n = 0.75 h$
Speed $= \frac{280}{0.75} = 364 k m p h$

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