Two trains are 348 miles apart, and their speeds differ by 22 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours
Mathematics · College · Thu Feb 04 2021
Answered on
Let the speed of train A be s1
And speed of train B be s2.
Distance = 348 miles
Time = 3 hours
Speed = distance/time
s1 + s2 = 348/3
s1 + s2 = 116 …1
s1 - s2 = 22 …2
Adding equation 1 and 2, we get
s1 + s2 + s1 - s2 = 116 + 22
2s1 = 138
s1 = 138/2
s1 = 69
Now, putting value of s1 in equation 2, we get
69 - s2 = 22
s2 = 69 - 22
s2 = 47
Thus, speed of trains are 69 mph and 47 mph.