Motion In A Straight Line Ques 48

48. A bus travelling the first one third distance at a speed of $10$ $ km / h$, the next one third at $20$ $ km /$ $h$ and the last one-third at $60 $ $km / h$. The average speed of the bus is

[1991]

(a) $9 $ $km / h$

(b) $16 $ $km / h$

(c) $18 $ $km / h$

(d) $48 $ $km / h$

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Answer:

Correct Answer: 48.(c)

Solution:

  1. (c) Average speed $=\frac{s}{\frac{s / 3}{10}+\frac{s / 3}{20}+\frac{s / 3}{60}}$

$ =\frac{s}{s / 18}=18 $ $km / h $

In case speed is continuously changing with time, then, $Vav=\frac{\int v d t}{\int d t}$