Question

A truck covers $224km$ in $4$ hours, the average speed of a bike is $\dfrac{1}{4}th$ the average speed of the truck. How much distance will the bike cover in seven hours?
$A)96km$
$B)98km$
$C)95km$
$D)92km$

Answer 1

Hint: First, km means kilometer of the truck covered the distance
Speed is the rate at which an object moves from one place to another place is given an interval of time.
Distance is the length of the path covered by an object or a person.
Time is the duration of the process in hours or minutes or seconds it will be represented.

Complete step by step answer:
From the given that truck covers $224km$ in $4$ hours,
Now we will calculate for the one hour, the distance covered by the truck, hence we can able to do that with the division operation, thus we get, $1h = \dfrac{{224}}{4}$ the four hours distance is converted into one hour.
Hence, we get, $1h = \dfrac{{224}}{4} \Rightarrow 56$km per hour the truck is traveling.
Also, given that the average speed of a bike is $\dfrac{1}{4}th$the average speed of the truck, again by the use of the division operation we get, the speed of the bike is $\dfrac{{56}}{4} = 14$a kilometer per hour.
Hence, we know the one-hour bike traveled distance and also from the given that distance will take bike cover in seven hours is required.
By using the distance formula, we get, distance = speed $\times$ time, where time is given as seven hours and speed that we find is fourteen kilometers per hour.
Thus, applying the values, we get, $dis\tan ce = 14 \times 7$, now by the multiplication operation we get, $dis\tan ce = 14 \times 7 \Rightarrow 98 km$.

Therefore option $B)98km$ is correct.
All other options are eliminated because of no way of getting the other options except the calculation mistakes.

Note:
If the distance and speed is given then we can rewrite the formula as $time = \dfrac{d}{s}$
Also, if the time and distance are given then we can make the formula $speed = \dfrac{d}{t}$
Hence the speed, distance, time are interrelated to each other so we are able to rewrite the formula as per the requirements.