Question

If you are driving at a constant speed of 65 miles per hour, how long will it take you to travel 260 miles ?

Answer 1

Hint:To solve the given question, we must know the meaning of speed, distance and time with respect to their relation i.e., we know that \[speed = \dfrac{{distance}}{{time}}\], in the question the value of distance and speed is given and we need to find the time taken to travel the distance 260 miles, hence by the relation \[time = \dfrac{{distance}}{{speed}}\], we can substitute the given values and find the time taken.

Complete step by step answer:
Let us write the given data as:
Speed = 65 miles,
Distance = 260 miles
Time =?
Hence, we need to find the time taken to travel 260 miles.
Applying the formula, we can find the time
\[time = \dfrac{{distance}}{{speed}}\]
As dividing a distance (miles) by a speed \[\left( {\dfrac{{miles}}{{hour}}} \right)\] will give you an amount of time, hence substitute the values of distance and time as per given data:
\[time = \dfrac{{260}}{{65}}\]
\[time = 4\]hours
Hence, it takes 4 hours to travel 260 miles.

Therefore, driving for 4 hours at 65 miles per hour will result in you traveling 260 miles.

Additional information:
Relationship Between Speed, Time & Distance:
\[speed = \dfrac{{distance}}{{time}}\], This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
Speed is directly Proportional to Distance and Inversely proportional to Time. Hence, Distance = \[Speed \times Time\], and \[time = \dfrac{{distance}}{{speed}}\], as the speed increases the time taken will decrease and vice versa.

Note: We know that when distance travelled is constant, speed of the object is inversely proportional to the time taken, hence to find the time taken consider the speed with respect to the distance travelled and as in the given question we can see that the speed is given in terms of per hour, if it is mentioned in minutes then we need to convert it into hours and then find the time in hours.