Question

How long will it take Kevin to drive 175milesif he averages 70 miles per hour on the trip?

Answer 1

Hint : Speed is the quantity that relates distance and time together. Speed is the distance traveled in a particular time. When we need to know the time required to travel a particular distance, divide it by the speed and you`ll the time.

Complete Step by step solution:
As we know the formula of speed is given as
$S = \dfrac{d}{t}$
Where’s is the speed, d is the distance traveled and t is the time taken to travel the distance.
Here we are given that the average speed of Kevin on the trip is 70 miles per hour
And he needs to travel 175 miles,
So, we need to calculate the time he will need to drive 175 miles,
Here as we can see that speed is given to us and the distance which needs to be covered is also given.
Now, two of the quantities are given to us and we know the relation between them so we just need to perform mathematical operations to calculate distance.
$\because S = \dfrac{d}{t}$
$\to t = \dfrac{d}{S}$
Given data $S = 70mh{r^{ - 1}}$and $d = 175m$ $t = ?$
*Here m is miles not meter
Substituting values
$t = \dfrac{{175}}{{70}}$
$t = 2.5hr$

Final answer: Kevin will take 2.5 hours to drive 175 miles at a speed of 70 miles per hour

Note:
1. The units of the speed, time, and distance should be taken care of.
2. Convert all the units into a single system is they are having different units
3. Here speed was given in miles per hour and there were no units specified for the answer so we solved for the time in hours only.