Question

A bus travels a distance of x km at a speed of 60 km/h and returns back with the speed of 30/km . calculate the average speed for the entire journey

Answer 1

Answer:

4

Explanation:

the fomula 2v1v2/v1+v2

v1=60 v2= 30

2.60.30/60+30

4

plese do me as a brainlest

Answer 2

$\bf{\underline{\underline{Question}}}$

A bus travels a distance of x km at a speed of 60 km/h and returns back with the speed of 30/km . calculate the average speed for the entire journey.

$\bf{\underline{\underline{Given,}}}$

$\:$

$\bf{s_{1}\:=\:x}$

$\:$

$\bf{v_{1}\:=\:60\:km/h}$

$\:$

$\bf{s_{2}\:=\:x}$

$\:$

$\bf{v_{2}\:=\:30\:km/h}$

$\:$

$\bf{\underline{\underline{Solution}}}$

$\:$

$\bf{\boxed{t_{1}}\:=\:{\frac{s_{1}}{v_{1}}}}$

$\:$

$\tt{Putting\:values}$

$\:$

$\bf{t_{1}}\:=\:{\frac{x}{60}}$

$\:$

$\tt{In\:Second\:case}$

$\:$

$\bf{\boxed{t_{2}}\:=\:{\frac{s_{2}}{v_{2}}}}$

$\:$

$\tt{Putting\:values}$

$\:$

$\bf{t_{2}}\:=\:{\frac{x}{30}}$

$\:$

$\tt{Total\:time\:taken\:,}$

$\:$

$\bf{T}={t_{1}}+{t_{2}}$

$\:$

=$\:$ $\bf{\frac{x}{60}}+{\frac{x}{30}}$

$\:$

$\tt{Lcm\:of\:60\:and\:30\:will\:be\:60}$

$\:$

=$\:$ $\bf{\frac{x+2x}{60}}$

$\:$

=$\:$ $\bf{\cancel\frac{3x}{60}}$

$\:$

$\tt{Total\:Time\:taken}$=$\:$ $\bf{\frac{x}{20}}$

$\:$

$\tt{Total\: Distance\: covered}\\{\tt{x+x\:=\:2x\:km}}$

$\:$

$\small\tt{\boxed{Average\:speed\:=\:{\frac{Total\:Distance}{Total\:Time\:Taken}}}}$

$\:$

$\bf{Average\:speed}\:=\:{\frac{2x}{x/20}}$

$\:$

$\bf{\boxed{Average\:speed\:=\:{40\:km/h}}}$

$\:$

$\bf{\underline{\underline{Thanks}}}$

$\:$