Question

Anu takes 15 minutes to go from her house to supermarket and 25 minutes for the return journey. If the distance between supermarket and her house is 5 km. What is her average speed?

Answer 1

Answer:

15 km/hr

Explanation:

As per the provided information in the given question, we have :

• Anu takes 15 minutes to go from her house to supermarket and 25 minutes for the return journey.
• The distance between supermarket and her house is 5 km.

We are asked to calculate the average speed of anu.

In order to find the average speed, We need to find total distance and total time taken by her.

Let us assume home as X and super market as Y.

★ Finding total distance :

${\begin{gathered}\twoheadrightarrow \rm {Distance_{(Total)} = {Distance}_{(From \:x \: to \: y) }+ {Distance}_{(From \:y \: to \: x) }}\end{gathered}}$

${\begin{gathered}\twoheadrightarrow \rm {Distance_{(Total)} = 5 \: km + 5 \: km} \end{gathered}}$

${\begin{gathered}\twoheadrightarrow \bf {Distance_{(Total)} = 10km}\end{gathered}}$

∴ Total distance travelled by her is 10 km.

$\rule{200}2$

★ Finding total time :

${\begin{gathered}\twoheadrightarrow \rm {Time_{(Total)} = \dfrac{{Time}_{(From \:x \: to \: y) }+ {Time}_{(From \:y \: to \: x) }}{60} } \end{gathered}}$

${\begin{gathered}\twoheadrightarrow \rm {Time_{(Total)} = \dfrac{15+ 25}{60} }\end{gathered}}$

${\begin{gathered}\twoheadrightarrow \rm {Time_{(Total)} = \dfrac{40}{60} }\end{gathered}}$

${\begin{gathered}\twoheadrightarrow \rm {Time_{(Total)} = \dfrac{2}{3} \: hrs}\end{gathered}}$

∴ Total time taken is 2/3 hrs

$\rule{200}2$

★ Finding average speed :

$\begin{gathered} \longmapsto\bf {Speed_{(avg)} = \dfrac{Total \; distance}{Total \; time} }\\ \end{gathered}$

$\begin{gathered} \longmapsto\rm {Speed_{(avg)} = \Bigg ( 10 \div \dfrac{2}{3} \Bigg ) \; kmh^{-1} }\\ \end{gathered}$

$\begin{gathered} \longmapsto\rm {Speed_{(avg)} = \Bigg ( 10\times \dfrac{3}{2} \Bigg ) \; kmh^{-1} }\\ \end{gathered}$

$\begin{gathered} \longmapsto\rm {Speed_{(avg)} = \Big ( 5 \times 3 \Big ) \; kmh^{-1} }\\ \end{gathered}$

$\begin{gathered} \longmapsto\bf {Speed_{(avg)} = 15\; kmh^{-1} }\\ \end{gathered}$

∴ Average speed of the Anu is 15 km/h.