SOLUTION: Write and solve an equation for each situation: 3. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h a

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Question 163006: Write and solve an equation for each situation:
3. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distnce, how fast does each travel?
7. Marla begins walking at 3 mi/h to the library. Her friend meets her halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk?
8. Fred begins walking toward John's house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mi/h. How long will it be before they meet if the distance between the houses is 4 miles?
9. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
10. It takes 1 hour longer to fly to St.Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St.Paul?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
These are a lot of problems, I am going to give you the equations:
:
Write and solve an equation for each situation:
:
3. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?
Let s = walking speed
then
(s+10) = biking speed
The equation:
L's dist = M's dist
3s = 1(s+10)
:
7. Marla begins walking at 3 mi/h to the library. Her friend meets her halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk?
Half way = 2 mi
Walking time = 2%2F3hrs
:
8. Fred begins walking toward John's house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mi/h. How long will it be before they meet if the distance between the houses is 4 miles?
Let t = time they will meet
write a distance equation, dist = speed * time
3t + 2t = 4
:
9. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
Let t = travel time of 1st train
then
(t-3) = travel time of 2nd train
When this happens they will have traveled the same dist: Write a dist equation
100(t-3) = 80t
:
10. It takes 1 hour longer to fly to St.Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St.Paul?
Let d = distance to S.P
Write a time equation: time = dist%2Fspeed:
To time - 1 hr = return time
d%2F200 - 1 = d%2F250
:
How did you do on this? Any questions?