Vehicles Traveling In Opposite Directions

Status
Not open for further replies.

mathdad

Full Member
Joined
Apr 24, 2015
Messages
716
A bus and a car leave the same place and traveled in opposite directions. If the bus is traveling at 50 mph and the car is traveling at 55 mph, in how many hours will they be 210 miles apart?

Solution:

Total distance = 210 miles

Bus rate = 50 mph
Bus time (in hours) = x

Car rate = 55 mph
Car time (in hours) = x

Set up:

50x + 55x = 210

Is this equation correct for vehicles traveling in opposite directions from the same starting point?
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
10,088
Looks good. Do you doubt?
 

mathdad

Full Member
Joined
Apr 24, 2015
Messages
716

Otis

Senior Member
Joined
Apr 22, 2015
Messages
1,772
... 50x + 55x = 210

Is this equation correct ...?
Yes. We can tell by thinking about the meaning. Draw a quick sketch or move two coins away from each other along a line, if you need help visualizing the scenario.

50x + 55x = 210

The first term is a distance (bus' rate × time)

The second term is a distance (car's rate × time)

Their sum is the total distance separating the vehicles after traveling x hours.

😎
 

mathdad

Full Member
Joined
Apr 24, 2015
Messages
716
Very good.
 
Status
Not open for further replies.
Top