Refer to the data given in the diagram below and answer the questions that follow.
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 the Distance of particular person's house from Ram's house (Scale 1 division = 1.75 km).
A dark square represents the Time taken by Ram to reach a particular person's house starting from his house (Scale division = 1.2 hrs.)
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 is $$\dfrac{1.5\times1.75}{3.5\times1.2}=0.625$$ kmph
So, the time taken is $$\dfrac{13.125}{0.625}=21$$ h
