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Madan covers 15 km by cycle at the speed of 5 km/hr and covers another 30 km by bike at the speed of 15 km/hr. Find his average speed?

Answer 1

$\text{Madan covers 15 km by cycle at the speed of 5 km/hr}\\ \\ t_1 =\frac{distance}{speed}=\frac{15}{5} = 3\ hour\\ \\ \text{He covers 30 km by bike at the speed of 15 km/hr.}\\ \\ t_2=\frac{distance}{speed}=\frac{30}{15} = 2\ hour\\ \\ \text{Total time, t} = t_1+t_2=3+2=5\ hours\\ \\ \text{Total distance}=15+30=45\ km\\ \\ \text{Average speed}=\frac{distance}{time}=\frac{45}{5}=9\ km/h\\ \\ \boxed{ \text { \red{Average speed = 9 km/h}} }$