Discussion Forum



Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question.

1)

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

Answer:

Option E

Explanation:

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).