# math

posted by .

at 8:00am the smiths left a campground, driving at 48 mi/h. at 8:20am the garcias left the same camp ground and followed the same route, driving at 60 mi/h. at what time did they overtake the smith's?

How far did the Smiths drive from 8 a.m. to 8:20 a.m.; i.e., in 20 minutes?
distance = rate*time.
d = 48mi/hr * 1/3 hr = 16 miles which the Smiths had as a head start.

let x = distance driven by Garcias. time = d/r = x/60.
time for Smiths = x-16 is distance driven. time = (x-16)/48.
Set time = time or
x/60 = (x-16)/48
solve for x.

That will be the distance. Plug that into x/60=time and calculate time. Add that to 8:20 to know the final time at which both reached the same point. Post you work if you run into trouble.

## Similar Questions

1. ### Math: distance,rate,time

Jamila left home on her bike at 11:00 AM traveling at 12 km/h. At noon, her sister Tamantha set out after her following the same route. If Tamantha's motorcycle traveled 28km/h, what time did Tamantha overtake Jamila?
2. ### math

At 3 pm a plane left the airport for LA traveling at 600 mph. At 3:30, another plane left the same airport on the same route traveling 650 mph. What time did the 2nd plane overtake the first. A. 5:15 pm B. 6:45 pm C. 6:50 pm D: 7:15 …
3. ### Algebra

At noon, your family starts out .from Louisville to go to Memphis driving at 40 mi/h. Your uncle leaves Memphis to come to Louisville two hours later. He is taking the same route and driving at 60 mi/h. The two cities are 380 miles …
4. ### Math

Lee & Lynn started out on a trip at 8:00am and arrived at 4:00 pm. The next day they started back home at 11:00am using the same exact route. If their driving speed was constant for the entire trip, at what time would they have been …
5. ### algebra 1

Rod left his house driving south. Marsha left three hours later, driving 42 km/h faster in an effort to catch up to him. After two hours, Marsha finally caught up. Find Rod's rate.

Uniform Motion Related Problem A car travelling at 60 kph left town at 9:00 a.m. Another car travelling at 65 kph left the same place half an hour later to overtake the first. At what time did the second car overtake the first?
7. ### Math

I an taking the SAT this week and I am so screwed. I keep getting these types(and ratio and probability- tips?
8. ### Science

A student goes to college,driving his car at 20 km per hour. He returns though same route ,driving at 40 km per hour . Find average speed during entire journey
9. ### English

1. Can you give me a ride if you are driving?
10. ### Englsih

Posted by rfvv on Tuesday, May 17, 2016 at 2:12am. 1. Can you give me a ride if you are driving?

More Similar Questions