Two trains leave a station, 304 miles apart, at the same time and travel toward each other. One train travels at 105 miles per hour, while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Distance = rate x time
d = rt
One train
distance = d
rate = 105
time = t {the two trains left at same times}
d = 105t {distance = rate x time}
Other train
distance = d
rate = 85
time = t {the two trains left at same times}
d = 85t {distance = rate x time}
105t + 85t = 304 {the two trains' combined distance equals 304}
190t = 304 {combined like terms}
t = 1.6 {divided each side by 190}
the two trains will meet in 1.6 hours
which is 1 hour and 36 minutes
- Algebra House
d = rt
One train
distance = d
rate = 105
time = t {the two trains left at same times}
d = 105t {distance = rate x time}
Other train
distance = d
rate = 85
time = t {the two trains left at same times}
d = 85t {distance = rate x time}
105t + 85t = 304 {the two trains' combined distance equals 304}
190t = 304 {combined like terms}
t = 1.6 {divided each side by 190}
the two trains will meet in 1.6 hours
which is 1 hour and 36 minutes
- Algebra House
