Here's the math question,if Train A leaves the train station going 125
miles an hour and makes two 15 minute stops and train B leaves the train
station at 100 miles an hour and only makes one 15 minute stop,
Which train will get to the second train station first?
2006-11-23 13:45:01 · 5 answers · asked by snowboy 3 in Education & Reference ➔ Homework Help
The distance they are traveling is 1000 miles.
2006-11-23 13:49:07 · update #1
OK what you need to remember about any problem like this is the formula Distance Traveled=Rate of Travel * Length of Time Traveled, (D=R * T). As long as you have two of those values, you can calculate the third. You know the distance, and you know the rate or travel. To calculate the Time, you get it by itself on one side of the equation. Divide both sides of the equation by R (rate), like this:
D = R * T
divide both sides by R
D / R = (R * T) /R
the R's on the right side will divide out and leave you with
D / R = T
Now you plug in the values for D and R
For train A
D = 1000 (miles)
R = 125 (mph)
so T= 1000/125 = 8 hours
You know the time is expressed in hours, because your units divide out just like numbers do. Your are taking miles and dividing them by miles per hour, and that leaves you with hours.
If you add in the stops the train makes (2 stops, 15 minutes each) you would add 30 minutes, or 0.5 hours to the total time, it takes Train A 8.5 hours to go from Station 1 to Station 2.
Doing the same thing with Train B...
T = D / R
T = 1000 / 100 (Train B is travelling the same distance, 1000 miles, and travelling at 100mph.)
Solve the equation and you get T = 10 hours, and adding in one stop of 15 minutes (or .25 hours), you get 10.25 hours.
So, Train A gets there first. Even if Train B doesn't make it's stop until near the very end of the run, Train A gets to the station in 8.5 hours, and even without any stops, at 100 mph, Train B is still 1.75 hours out of the station at that point.
It's a useful formula to learn and understand, you can apply in many different situations.
Good luck.
2006-11-23 14:07:58 · answer #1 · answered by Yinzer Power 6 · 1⤊ 0⤋
Train A will make it to the second station first. Use this formula.
D=r*t D is the distance being traveled. R is the rate you are traveling at and t is the time it takes you to travel the given distance at the given rate (speed).
Train A will arrive in 7.5 hours.
Train B will arrive in 9.75 hours.
2006-11-23 22:20:21 · answer #2 · answered by devin102791 2 · 1⤊ 0⤋
time for A to reach the 2nd station:
1000/125=8
8+30/60=8.5h
time for B:
1000/100=10
10+15/60=10.25h
A has less time than B,A is faster than B.
2006-11-23 21:55:17 · answer #3 · answered by chengyee siu 1 · 1⤊ 0⤋
Train A.
2006-11-23 21:53:18 · answer #4 · answered by BILL 6 · 1⤊ 0⤋
i think you need to know the distance they are traveling.
2006-11-23 21:48:11 · answer #5 · answered by Kathy23 3 · 1⤊ 0⤋