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  • A horse rider covers half the distance with 5 m/s speed. The remaining part of the distance wastravelled with speed 10 m/s for half the time and with speed 15 m/s for other half of the time. The me

A horse rider covers half the distance with 5 m/s speed. The remaining part of the distance wastravelled with speed 10 m/s for half the time and with speed 15 m/s for other half of the time. The mean speed of the rider averaged over the whole time of motion is \frac{x}{7} \ \ m/s . The value of x is

Option: 1

50


Option: 2

__


Option: 3

__


Option: 4

__


Answers (1)

best_answer

 

Avg. speed from B to D \rightarrow \mathrm{V}_{\mathrm{BD}}=\frac{10+15}{2}=\frac{25}{2} \mathrm{~m} / \mathrm{sec}

Now, \frac{2}{V_{avg}}=\frac{1}{5}+\frac{2}{25}

\frac{2}{\mathrm{~V}_{\mathrm{avg}}}=\frac{7}{25} \Rightarrow \mathrm{V}_{\mathrm{ag}}=\frac{50}{7}

Ans. x=50

Posted by

Gautam harsolia

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