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 105

      Ebrahim, Faizal and Ram live in a Straight line, such that Ram stays between Ebrahim and Faizal. How muchtime will Ram take to travel to Faizal's house from Ebrahim's house at the speed at which he travels to Abhay's house?

      Solution

      The distance between Ebrahim's and Ram's house is

      $$2.5\times1.75=4.375$$ km

      The distance between Faizal's and Ram's house is

      $$5\times1.75=8.75$$ km

      Hence, the total distance to be travelled is 4.375 + 8.75 = 13.125 km

      His speed while travelling to Abhay's house isĀ $$\dfrac{1.5\times1.75}{3.5\times1.2}=0.625$$ kmph

      So, the time taken is $$\dfrac{13.125}{0.625}=21$$ h

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