Question

To reach a point Q, David travels $\frac{5}{2}$ miles to the right of P but takes a wrong turn and goes in the opposite direction.


If he travels in the right direction, find his correct position.

• A. -$\frac{5}{4}$
• B. +$\frac{7}{2}$
• C. -$\frac{7}{4}$
• D. +$\frac{5}{2}$

Answer 1

The correct option is D +$\frac{5}{2}$

Given: Point P is located at '0' on the number line.

$\text{Position of Q from P =}-\frac{5}{2}miles$

After reaching Q, he realizes that he took a wrong turn and travelled in the opposite direction.

While moving in the right direction, distance covered from P (origin) is the same as that was till:
$\text{Q =}+\frac{5}{2}miles$
i.e.,


So, as he travels the same distance but in the opposite direction, he reaches
$\text{position}+\frac{5}{2}.$