manuel traveled 3 hours nonstop to mexico, a total of 108 miles. he took a train part of the way, which averaged 40mph and then took a bus the remaining distance, which averaged 30mph. how long was manuel on the train
You can make two equations for this.
The first being 40x + 30y = 108
The second being x + y = 3
In both of these cases x = train and y = bus
You solve for one variable, in this case I will solve for x out of the first equation. x = -3/4y + 27/10
Plug this into the second equation so -3/4y + 27/10 + y = 3
Simplified this is 1/4y + 27/10 = 3
Solve for y. y = 6/5
Plug this back into the first equation
40x + 30(6/5) = 108
Solve for x
x = 9/5
He was on the train for 9/5 hours, or 1.8 hours
I hope this helps! Please let me know if you have any questions!
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?