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Question

A person travels from A to B at the speed of 120 km an hour and returns from B to A at the speed of 80 - km an hour. What is his average speed?


A
100 km/hr
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B
96 km /hr
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C
90 km /hr
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D
60 km /hr
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Solution

The correct option is B 96 km /hr
$$Let\quad the\quad distance\quad be\quad x,\\ time\quad taken\quad to\quad travel=\frac { x }{ 120 } ,\\ time\quad taken\quad to\quad return=\frac { x }{ 80 } ,\\ average\quad speed=\frac { Total\quad distance }{ time\quad taken } \\ =\frac { 2x }{ \frac { x }{ 120 } +\frac { x }{ 80 }  } =\frac { 2x*240 }{ 5x } =96km/hr$$

Physics

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