Question

A car travels 405 miles at 68 mph, how long does it take in hours? In seconds?

Answer 1

So, the car travel in approximately 5.96 hours or as same as 21,456 s.

Introduction

Hello ! Here I will help you about the relationship between distance, speed, and time. We know, at the same time, when we move with the higher speed, we will travel a longer distance. Between distance and speed must have comparable units. For example, for distance we use km (kilometers), whereas if we use mph for speed, then for time in hours (h), we will convert distance into miles (mi). Then, lets we look at the problem, the distance unit is in miles (mi) and the speed unit is in miles per hour (mph), then to get the travel time in hours (h), we don't need to convert distance and speed to any units anymore.

Formula Used

Here, I give you two types of formulas that you need to rembember. There are the formula for the relationship between distance, speed, and time; and the formula for converting the value of time in hours to seconds.

Relationship Between Distance, Speed, & Time

The relationship between distance, speed, and time can be expressed in this equation :

`\boxed{\sf{\bold{s = v * t}}}`

`\therefore`
`\boxed{\sf{\bold{v = (s)/(t)}}}` and
`\boxed{\sf{\bold{t = (s)/(v)}}}`

With the following condition:

• s = shift or distance
• v = velocity
• t = time

Converting Hours To Second

The formula that you can use for converting value of the time in hours to second is :

`\boxed{\sf{\bold{t_(second) = t_(hours) * 3,600}}}`

Problem Solving

Time in hours

We know that :

• s = shift or distance = 405 miles
• v = velocity = 68 mph

What was asked?

• t = time = ... h

Answer :

`\sf{t = (s)/(v)}`

`\sf{t = (405)/(68)}`

`\bold{\sf{t \approx 5.96 \: hours}}`

---------

Time in second

We know that :

• t ≈ 5.96 hours

What was asked ?

• t = time = ... s

Answer

`\sf{t_(second) = t_(hours) * 3,600}`

`\sf{t_(second) = 5.96 * 3,600}`

`\sf{\bold{t_(second) = 21,456 \: s}}`

Conclusion :

• So, the car travel in approximately 5.96 hours or as same as 21,456 s.