Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Two trains going in opposite directions leave at the same time. Train B travels 30 mph faster than train A. In 3 hours the trains are 330 miles apart. Find the speed of each.

Sagot :

RedRicin
Using the magic of algebra!:

The time each train goes in 1 hour will be represented as a / b.
b is 30 more than a, so if we add 30 to a it should equal b.
a + 30 = b
In three hours, the trains are 330 miles apart.
Esentially, we're adding up the distance each train goes from the starting point to find the distance between them.
3b + 3a = 330
Now we have a system of equations to solve.
a + 30 = b
3b + 3a = 330
We want to get the variables on seperate sides of the equation for easy solving.
a + 30 = b
3b = 330 - 3a
Then get the value of the one variable the same so we can use the transitive property.
a + 30 = b
b = 110 - a

a + 30 = 110 - a
2a + 30 = 110
2a = 80
a = 40 mph

(And thus b = 70 mph)
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.