A Metra commuter train leaves Union Station in Chicago at 12pm. Two hourslater, an Amtrak train leaves on the same track, traveling at an average speed thatis 50 miles per hour faster then the Metra train. At 3pm the Amtrak train is 10miles behind the commuter train. How fast is each going? Answer: Let x = speed of metra trainx + 50 = speed of Amtrak trainRecall: Distance = (rate)(time)Eqn: 3x = x + 602x = 60x = 30So, x = 30mph (Metra Train), x + 50 = 80mph (Amtrak Train) So I really just cannot seem to grasp how to get to a formula to be able to solve.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A Metra commuter train leaves Union Station in Chicago at 12pm. Two hours
later, an Amtrak train leaves on the same track, traveling at an average speed that
is 50 miles per hour faster then the Metra train. At 3pm the Amtrak train is 10
miles behind the commuter train. How fast is each going?
Answer: Let x = speed of metra train
x + 50 = speed of Amtrak train
Recall: Distance = (rate)(time)
Eqn: 3x = x + 60
2x = 60
x = 30
So, x = 30mph (Metra Train), x + 50 = 80mph (Amtrak Train)
So I really just cannot seem to grasp how to get to a formula to be able to solve.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
