A person covers 9 km with a speed of 3 km/h, 25 km with a speed of 5 km/h and 30 km with a speed of 10 km/h. Find out the average speed of person.


A) \( \Large 5\frac{9}{11} \) km/h

B) \( \Large 11\frac{5}{9} \) km/h

C) \( \Large 9\frac{5}{11} \) km/h

D) \( \Large 5\frac{5}{11} \) km/h

Correct Answer:
A) \( \Large 5\frac{9}{11} \) km/h

Description for Correct answer:

Here, P = 9 km, Q = 25 km, R = 30 km

x = 3 km/h, y = 5 km/h and z = 10km/h

Therefore, Required average speed

\( \Large \frac{P + Q + R}{ \LARGE \frac{P}{x}+\frac{Q}{y}+\frac{R}{z}} \)

\( \Large \frac{9 + 25 + 30}{ \LARGE \frac{9}{3}+\frac{25}{5}+\frac{30}{10}} \)

\( \Large \frac{64}{3+5+3} = \frac{64}{11} \)

\( \Large 5\frac{9}{11} km/h \)


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