Question

If speed of a vehicle is 2 units for every 5 minutes, find the time required for traveling $|-5\frac{3}{5}|$ units.

• A. 8 minutes
• B. 14 minutes
• C. 18 minutes
• D. 28 minutes

Answer 1

The correct option is B 14 minutes

Here, the || refers to modulus or absolute value of a number.

First, let's find the absolute value of the given location and then multiply the distance with the unit time given.

$|-5\frac{3}{5}|=5\frac{3}{5}\text{units}$
On converting the mixed fraction to normal fraction, we have,
$5\frac{3}{5}=\frac{28}{5}\text{units}$

Given:
Time taken for 2 unit = 5 minutes
$\therefore$ Time taken for 1 unit = $\frac{5}{2}$ minutes
Hence, time taken for $\frac{28}{5}$ units = $\frac{28}{5}$ x $\frac{5}{2}$

= 14 minutes