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Word Problems: Travel and Distance

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Question 150358: Height difference
A red ball and green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^2+p6ft. The green ball is given an initial velocity of 80 feet per second and its height t seconds after it is tossed is -16t^2 + 80 ft
a. find the polynomial that represents the difference in the heights of the two balls.
b. how much higher is the red ball 2 seconds after the ball is tossed?
c. in reality when does the difference in the heights stop increasing?
Click here to see answer by ankor@dixie-net.com(6686)

Question 150471: Hello! Can you please help me with our homework? Please explain it thoroughly and show the solution step by step. Thanks!
Problem: RV and Pearl are 50 meters apart. After recognizing each other from a distance, they run towards each other along a straight path to give each other a hug. RV’s rate is 6 m/s while Pearl runs at 4 m/s. As they start to run, RV’s dog leaves him and run towards Pearl at 8 m/s. Upon reaching Pearl, the dog runs towards RV and continues to run back and forth until they meet. What is the distance traveled by the dog when the two finally hug each other?
My idea about the problem:
x=time
4x + 6x = 50
10 x =50
x = 5 seconds
So, the distance travelled by RV when they hug each other is 20 m and the distance travelled by Pearl is 30 m. I don't have any idea on how to get the total distance travelled by the dog.
Click here to see answer by ankor@dixie-net.com(6686)

Question 150587: by boat, joseph can go 72km upstream to a fishing hole in 4 hours. to go back, he needs only 3 hours. what is his rate upstream and his rate downstream?
Click here to see answer by edjones(3291)

Question 150630: 7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet. Also, s represents the height in feet of the object at any time, t, which is measured in seconds.
a) If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information.
Typing hint: Type t-squared as t^2
Answer:
b) How high is the rock after 2 seconds?
Answer:
Show your work here:

c) After how many seconds will the graph reach maximum height? Show your work algebraically.

Answer:
Show your work here:

d) What is the maximum height?
Answer:
Show your work here:

I have tried numerous approaches but don't feel I have the right answer. If I use the #2 in place of x my solution comes out to s=46 which does not sound reasonable to me. Please help
Click here to see answer by ankor@dixie-net.com(6686)

Question 150665This question is from textbook

: BY boat, Joseph can go 72 km upstream to a fishing hole in 4 hours. To go back he needs only 3 hours. What is his rate upstream and his rate downstream?This question is from textbook

Click here to see answer by stanbon(26251)

Question 150888: 3. Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by josmiceli(3003)

Question 151113: jen boarded a bus bound for baguio at exactly 12AM. After one and a half hours, her boyfriend nomz followed driving the recently bought scooter at 80mph(miles per hour). Assuming the bus was travelling at an average speed of 60mph, at what time would Nomz overtake the bus?
Click here to see answer by stanbon(26251)

Question 151115: this is d last question plz help!!
thank you
Two private planes, owned by engr,roel , leave a common airport at the same time and travel in opposite direction. If one travels at 75 kph(kilometer per hour) and the other at 90 kph, how long will it take them to be 800km apart?
Click here to see answer by stanbon(26251)

Question 151123: Can you please help?
A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest when he continues on his walk. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t. Explain what you did to get your answer please!!
Click here to see answer by scott8148(3382)

Question 151114: Two MRT trains leave Guadalupe stations at the same time, traveling in opposite direction. The speed of one train is 5mph faster than the other train. At the end of 30 minutes, they are 6 miles apart. Find the rates of speed for each train.
tnx for answering in advance!!
Click here to see answer by galileo(7)

Question 151223: les and gil drove a total of 733 miles in 11.6 hours. les drove the first part of the trip and averaged 55 mph. gil drove the remainder of the trip and averaged 65 mph. how long did les drive?
Click here to see answer by stanbon(26251)

Question 151182: Les and Gil drove a total of 733 miles in 11.6 hours. Les drove the first part of the trip and averaged 55 mph. Gilbert drove the remainder of the trip and averagerd 65 mph. How long did Les drive?
Click here to see answer by checkley77(7032)

Question 151181: a motorboat can go 8 miles downstream in 20 minutes. It takes the same motorboat 30 minutes to go back upstream the same 8 miles. find the speed of the current.
Click here to see answer by nerdybill(2446)

Question 151180: Richard's average driving speed is 23 km per hour faster than Kirk's. In the same length of time it takes Richard to drive 651 km, Kirk drives on 490 km. What is Richard's average speed?
Click here to see answer by checkley77(7032)

Question 151248: I am using an online study guide to prepare for the COMPASS Assessment Test, I am having difficulty with a particular word problems involving d=rt.
Two cyclist start biking from a trail's start point 3 hours apart. The second cyclist travels at 10 mph and starts 3 hours after the first cyclist who is biking at 6 mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist starts biking?
A. 2 hours
B. 4.5 hours-correct answer
C. 5 8/4 hours
D. 6 hours
E. 7.5 hours
I have no idea even where to start!
Click here to see answer by stanbon(26251)

Question 151245: I am using an online study guide for the COMPASS Assessment Test, I am having trouble with this particuluar word problem. The problem involves d= rt.
If 2 planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM, if one travels directly north at 150 mph and the other plane travels directly west at 200 mph.
A. 50 miles
B. 100 miles
C. 500 miles-correct answer
D. 700 miles
E. 1000 miles
I originally answered the question D 700 miles, by taking 150+ 200, multiplying the answer by 2 for 2 hours.
Click here to see answer by stanbon(26251)

Question 151179: a plane flies 900 miles with a tail wind, in 3 hours. It takes the same plane 4 hours to fly the 900 miles when flying against the wind. What is the planes speed in still air?
Click here to see answer by ankor@dixie-net.com(6686)

Question 151273: Sally walks 3 miles north of her farm, turns west and walks 4 miles. How far must she walk if she can walk directly back to her farm?
Click here to see answer by tramfw89(2)

Question 151322: How many feet to a mile?
Click here to see answer by stanbon(26251)

Question 151349: Please help me in my assignment I'm sorry to say that I'm very poor in worded problems. This is a take home quiz and i dn't know where our teacher get it.
so here is my question......
2 boys are 96yards apart.if they run towards each other they will meet in 8secs.
if they run at the same starting point the faster boy overtake the slower boy in 48 seconds.Find the rate of each.
I don't know if my answer is correct. Please send me the step by step solution so that i can study it. Thank you
Click here to see answer by ankor@dixie-net.com(6686)

Question 151378: Determine the speed of a motorboat in still water and the speed of the river current, if it takes 3 hrs to travel a distance of 45 miles upstream and 2 hrs to travel 50 miles downstream.
Click here to see answer by ankor@dixie-net.com(6686)

Question 151403: I am having difficulty setting up this word problem. If a taxi charges .50 for the first 1/5 of a mile, and .20 for every 1/10 of a mile after that, how much would it cost to go 2 miles?
Click here to see answer by checkley77(7032)

Question 151407: A freight train takes 2 hours longer to travel 300 miles than an express train to travel 280 miles. The rate of the express train is 20mph greater than the rate of the freight train. Find the time for the express train.
Please help!
Click here to see answer by checkley77(7032)

Question 151631: Ramona is staying at a vacation resort called Stony Cabins. She rents a canoe and take 1.5 hours to paddle her canoe upstream. Ramona turns her canoe around and returns downstream to her cabin in exactly 1 hour. What is the rate of the creek's current and the rate of Ramona's paddling in still water?
Click here to see answer by ankor@dixie-net.com(6686)

Question 151673: a train leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one?
Click here to see answer by ankor@dixie-net.com(6686)

Question 151754: Juan left home on his bicycle at 10:00a.m. traveling at 21km/h. At noon, his brother set out after him on his motorcycle following the same route. If the motorcycle traveled at 63km/h, what time did Juan's brother overtake him?
Click here to see answer by nerdybill(2446)

Question 151753: Mary Beth and Michael leave school traveling in opposite directions. Michael is walking and Mary Beth is biking, averaging 6km/h more than Michael. If they are 18km apart after 1.5 hours, what is Michael's rate?
Click here to see answer by ankor@dixie-net.com(6686)

Question 151766: two busses are 515 miles apart. At 9:30 AM they start traveling toward each other at rates of 48 and 55 miles per hour. At what time will they pass each other?
Click here to see answer by orca(409)

Question 151834: With a certain tail wind an airplane reached its destination, 630 miles away, in 1½ hours. Flying back against the same wind, the plane took 15 minutes longer to make the trip. Find the wind speed and the plane's airspeed
Click here to see answer by checkley77(7032)

Question 151833: The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?
Click here to see answer by checkley77(7032)

Question 151832: A private plane can make a 125-mile trip in half an hour when flying against a certain headwind. Flying with the same wind, it can make the trip in 25 minutes. Find the speed of the wind and the plane's airspeed.
Click here to see answer by checkley77(7032)

Question 151830: With a certain tail wind a jet air craft arrives at its destination 1,890 miles away in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the windspeed and airspeed.
Click here to see answer by ankor@dixie-net.com(6686)

Question 151934: Two planes leave simultaneously from the same airport, one flying due north and the other due east. The northbound plane is flying 50 mph faster than the east bound plane. After 3 hours, the planes are 2440 miles apart. Find the speed of each plane.
3(x+50 +x)=2440
x+50 +x =813.33
2x +50= 813.33
2x=763.33
x = 381.67 northbound plane: 431.33
eastbound plane: 381.33
Click here to see answer by ankor@dixie-net.com(6686)

Question 152002: A class of 40 students is to divided into smaller groups. If each group is to contain 3,4 or 5 people, what is the largestnumber of groups possible?
Click here to see answer by checkley77(7032)

Question 151987: It takes 1 hour longer to fly to St.Paul at 200mi/h than it does to return at 250mi/h. How far away is St.Paul?
Click here to see answer by ankor@dixie-net.com(6686)

Question 151989: A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
Click here to see answer by ankor@dixie-net.com(6686)

Question 152108: The units digit of a two digit number is 1/2 the tens digit. If the digits are reversed, the sum of the new number and the original number is 132. Find the original nummber.
Click here to see answer by ankor@dixie-net.com(6686)

Question 152161This question is from textbook precalculus
: A metra commuter train leaves union station in chicago at 12 noon. Two hours later, an amtrack train leaves on the same track, traveling at an average speed that is 50 miles per hour faster than the metra train. At 3pm, the amtrack train is 10 miles behind the commuter train. how fast is each going?This question is from textbook precalculus

Click here to see answer by ankor@dixie-net.com(6686)

Question 152251: If a ball is traveling at 90 miles an hour, how long would it take to travel 60.5 ft?
Click here to see answer by scott8148(3382)

Question 152246: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 80 mph and Train B is traveling 88 mph. Train A passes a statio at 8:25p.m. Train B passes the sam station at 8:55p.m.; at what time will train B catch up to train A?
Click here to see answer by ankor@dixie-net.com(6686)

Question 152378: I need help with this question:

mr. kasberg rides his bike at 6 mph to the bus station. he then rides the bus to work, averaging 30 mph. if he spends 20 minuts less time on the bus than on the bike, and the distance from his house to work is 26 miles, what is the distance from his house to the bus station?
i don't get how to solve this using an equation.
Click here to see answer by ankor@dixie-net.com(6686)

Question 152437: You participate in a triathlon in which you swam three miles, ran five miles and then bicycled ten miles. You ran twice as fast as you swam and cycled three times as fast as you swam. If your total time was one hour and forty-six minutes, how fast did you swim?
Click here to see answer by orca(409)

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