Question

In a racing competition, car A falls behind car B by $4$ yards every $15$ minutes. How many yards does car A lose after an hour?

• A. 60 yd
• B. 16 yd
• C. 30 yd
• D. 54 yd

Answer 1

The correct option is B 16 yd

We know,
$60$ min = $1$ h

As per the given statement, car A falls $4$ yd behind car B every $15$ minutes.

$\therefore$ Number of yd car A loses in $1$ min $=\frac{4}{15}$ yd

Number of yd car A loses in $60$ min $=60\times$ Number of yd car A loses in $1$ min
$\Rightarrow$ Number of yd car A loses in $60$ min
$=(60\times \frac{4}{15})$ yd

$=\frac{60\times 4}{15}$ yd

$=\frac{240}{15}$ yd $(\because 60\times 4=240)$

Now, $240÷15$ can be evaluated as:



$\therefore 240÷15=16\text{R}0$

Hence, car A would lose $16$ yards after an hour.