Time and Distance | Arithmetic aptitude | Discussion Page

A car and a bus start from the town X at the same time. How far is the town Y from the town X ?

I. The car travelling at an average speed of 40 km/hr reaches town Y at 4:35 pm.

II. Th bus reaches town Y at 6:15 pm, at an average speed of 60 km/hr.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

Option E

Let XY = $x$ km. From I and II, we get :

$\frac{x}{40}-\frac{x}{60}$ $=1\frac{40}{60}$ [(6:15 pm) - (4:35 pm) = 1 hr 40 min]

$\Leftrightarrow$ $\frac{x}{40}-\frac{x}{60}=\frac{100}{60}$ .

This gives $x$ .

$\therefore$ Correct answer is (E).

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