291,176 views
35 votes
35 votes
Omar and Devin both leave the bookstore at the same time, but in opposite directions. If Devin travels 7 mph faster than Omar and after 3 hours they are 93 miles apart, how fast is each traveling?

User Frilla
by
2.7k points

1 Answer

8 votes
8 votes

Omar and Devin both leave the bookstore at the same time, but in opposite directions.

Let the speed of Omar = x

Speed of Devin = x + 7

They travel for 3 hours

Speed = Distance/Time

Distance = Speed x Time

Since, they are 93 miles apart

93 = (speed pf Omar + Speed of Devin) Time

93 = (x + x + 7)3

93 = (2x + 7)3

93 = 6x + 21

93 - 21 = 6x

6x = 72

x = 72/6

x = 12

Thus, Speed of Omar is 12 mph

Speed of Devin : x + 7

x + 7 = 12 + 7

= 19

Thus, speed of Devin is 19mph

User DrSammyD
by
2.4k points