Answer in Brief

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?

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#### Solution

Let* *the increased speed be *x* km/h.

Time (in h) | 10 | 8 |

Speed (km/h) | 48 | x+48 |

\[\text{ Since speed and time taken are in inverse variation, we get: } \]

\[10 \times 48 = 8\left( x + 48 \right)\]

\[ \Rightarrow 480 = 8x + 384\]

\[ \Rightarrow 8x = 480 - 384\]

\[ \Rightarrow 8x = 96\]

\[ = 12\]

\[\text { Thus, the speed should be increased by 12km/h } . \]

Concept: Concept of Inverse Proportion

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