Question

If a boat travels $125$ km in $2\dfrac{1}{2}$​ hours, how far will it travel in $12$ hours.

Answer 1

Hint: Here, we are given that a boat travels $125$ km in $2\dfrac{1}{2}$​ hours. Find the speed of the boat and after that find the distance for $12$ hours.

Complete step-by-step answer:
We are given that, boat travels $125$ km in $2\dfrac{1}{2}$​ hours.
We can write $2\dfrac{1}{2}$​ hours as $2.5$hours.
Now, speed of boat$=\dfrac{\text{distance }}{\text{time}}$
speed of boat$=\dfrac{\text{125 }}{2.5}$
Simplifying we get,
speed of boat$=50$ km/hour
Now we have to find the distance travelled in $12$ hours.
Distance travelled in $12$ hours$=$speed of boat $\times $time
Distance travelled in $12$ hours$=$ $125\times 12$
Simplifying in simple form we get,
Distance travelled in $12$ hours$=$ $600$ km
Therefore, the distance travelled in $12$ hours is $600$ km.

Additional information:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. If $b$ is directly proportional to $a$ the equation is of the form $b=ka$ (where $k$ is a constant). Two variables are said to be in direct variation when the variables are related in such a way that the ratio of their values always remains the same. Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Inverse variation is exactly opposite to this. The quantities are said to be in direct proportion if an increase in the quantity A leads to an increase in quantity B and vice versa, provided their respective ratios are the same. Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Note: Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.