Posted by Alan on Monday, October 29, 2007 at 5:02pm.
You can solve it algebraically or you can set up a chart:
First train:
1 hr: 75 mi
2 hr: 150 mi
3 hr: 225 mi
-- Continue this chart
Second train:
1 hr: 100 mi
2 hr: 200 mi
3 hr: 300 mi
-- Continue this chart.
Compare the charts to see when they've both traveled the same distance, but the second train reached it in two hours less.
i needhelp with solving systems of equetions algebrically
distance = rate x time
A train rate = 75 km/hr
B train rate = 100 km/hr
distance traveled by A train =
75 x (t+2 hrs)
distance traveled by B train =
100 x t
Distance is the same so set them equal to each other.
75(t+2) = 100t
solve for t = time.
Use the matrix method to solve:
x + 4y = 8
2x + y = 9
x = a0
y = a1
Related Questions
math - a train left podunk and traveled north at 75 km/h. two hours later, ...
algebra - A train left Podunk and traveled north at 75km/h. Two hours later, ...
math - A train left Podunk and traveled west at 70 km/h. Two hours later, ...
math - a train left podunk and traveled west 70 km/h. two hours later, another ...
math - One train left the station and traveled toward its destination at a speed...
Math - A cattle train left Miami and traveled toward New York. 14 hours later a ...
Algebra - A tcar left Purm and traveled west at 70 km/h. Two hours later another...
Math - The train leaves toledo at a speed of 40 mph for 3 1/2 hours until it ...
Physics - A train moving with constant velocity travels 190 north in 14s and an ...
Algebra-help - 12. A train traveled at a constant speed for 6 hours. The train ...
For Further Reading