can someone just set up the equations for me for this problem. thanks...
Problem #1
A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Problem #2
During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster than his rate on the freeway, find his rate on the side roads
1.640
2.34
i do not want the answers only equations
Sure! I can help you set up the equations for these two problems.
Problem #1:
Let's assume that the flying time for the second part of the trip is represented by 't' hours.
We know that the plane took 1 hour longer to travel 560 miles on the first portion, so the flying time for the first portion can be represented as 't + 1' hours.
Now, let's use the formula distance = speed * time for both portions of the flight:
For the first portion, the distance is 560 miles and the time is (t + 1) hours.
So, the equation becomes: 560 = speed * (t + 1)
For the second portion, the distance is 480 miles and the time is 't' hours.
So, the equation becomes: 480 = speed * t
Problem #2:
Let's assume Bill's rate on the freeway is represented by 'x' mi/h. We are also given that Bill's rate on the side roads is 8 mi/h faster than his rate on the freeway, so his rate on the side roads can be represented as (x + 8) mi/h.
Now, let's use the formula distance = speed * time for both scenarios:
For the side roads, the distance is 15 miles and the rate is (x + 8) mi/h.
So, the equation becomes: 15 = (x + 8) * time
For the freeway, the distance is 10 miles and the rate is 'x' mi/h.
So, the equation becomes: 10 = x * time
These are the equations you need to solve for the unknowns in each problem.