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Physics Question on Motion in a straight line

A car travels first half distance between the places with a speed of 30 km h−130\, km \,h^{-1} and remaining half with a speed of 50 km h−150\, km \, h^{-1}. The average speed of car is

A

37.5 km h−137.5\,km\,h^{-1}

B

10 km h−110\,km\,h^{-1}

C

42 km h−142\,km\,h^{-1}

D

40 km h−140\,km\,h^{-1}

Answer

37.5 km h−137.5\,km\,h^{-1}

Explanation

Solution

υav=S(S/1)30+(S/2)50=37.5 km hr−1\upsilon_{av} = \frac{S}{\frac{(S/1)}{30} + \frac{(S/2)}{50}}= 37.5 \, km \, hr^{-1}