A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance ? (in km/hr)

Speed

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A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance ? (in km/hr)

\(12\,km/hr\)

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Let the speed increased by \(x\) km/hr.

So increased speed \(=(x+48)\)km/hr

Since speed and time taken are in inverse variation, we get:

\(\Rightarrow\) \(10\times 48=8(x+48)\)

\(\Rightarrow\) \(480=8x+384\)

\(\Rightarrow\) \(8x=480-384\)

\(\Rightarrow\) \(8x=96\)

\(\Rightarrow\) \(x=12\)

\(\therefore\) The speed should be increased by \(12\,km/hr\)

So increased speed \(=(x+48)\)km/hr

Since speed and time taken are in inverse variation, we get:

\(\Rightarrow\) \(10\times 48=8(x+48)\)

\(\Rightarrow\) \(480=8x+384\)

\(\Rightarrow\) \(8x=480-384\)

\(\Rightarrow\) \(8x=96\)

\(\Rightarrow\) \(x=12\)

\(\therefore\) The speed should be increased by \(12\,km/hr\)

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4.6

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4.6

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