Dan drove a distance of 260 mi at 65 mi/h. Then he stopped for 30 minutes to have his lunch. After lunch, he covered the rest of his journey at 55 mi/h. If the second part of his journey was 165 mi, how long did he take for the whole journey?

Dan drove a distance of 260 mi at 65 mi/h. Then he stopped for 30 minutes to have his lunch. After lunch, he covered the rest of his journey at 55 mi/h. If the second part of his journey was 165 mi, how long did he take for the whole journey?

1 Answer
Dec 28, 2017

Total journey time #= 4+0.5+3=7.5# #hours#

Explanation:

We have the equation:

#v=d/t#

Where #v# is the velocity, #d# is the distance and #t# is the time.

We can rearrange this to:

#t=d/v#

First part of the journey:

#t=d/v=260/65=4# #hours#

Lunch break: #0.5# #hours#

Second part of the journey:

#t=d/v=165/55=3# #hours#

Total journey time #= 4+0.5+3=7.5# #hours#