Instructions

Refer to the data given in the diagram below and answer the questions that follow.

Q102-105

Abhay, Bhalu, Chandu, Damu, Ebrahim, Faizal, Gayatri and Hari are Ram's friends. The above diagram gives the distance of each of their houses and time taken by Ram to visit each of them.

A dark circle represents theĀ Distance of particular person's house from Ram's house (Scale 1 division = 1.75 km).

A dark square represents theĀ Time taken by Ram to reach a particular person's house starting from his house (Scale division = 1.2 hrs.)

      Question 102

      Ram is travelling with maximum average speed, while going to

      Solution

      While going to Damu's house

      The distance is $$4\times1.75=7$$ km

      The time taken is $$2.5\times1.2=3$$ hours

      Average speed = $$\dfrac{7}{3}=2.33$$ kmph

      While going to Bhalu's house

      The distance is $$4.5\times1.75=7.875$$ km

      The time taken is $$2.5\times1.2=3$$ hours

      Average speed = $$\dfrac{7.875}{3}=2.625$$ kmph

      While going to Faizal's house

      The distance is $$5\times1.75=8.75$$ km

      The time taken is $$3\times1.2=3.6$$ hours

      Average speed = $$\dfrac{8.75}{3.6}=2.43$$ kmph

      While going to Gayatri's house

      The distance isĀ $$4\times1.75=7$$ kmĀ 

      The time taken isĀ $$2\times1.2=2.4$$ hours

      Average speed =Ā $$\dfrac{7}{2.4}=2.92$$ kmph

      Hence, the max average speed is 2.92 kmph

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