Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 1110495: a hill walker is crossing the valley at an average speed of 8km/hr how long will it take him to walk the whole length which is 14km long
Click here to see answer by Alan3354(69443)

Question 1110505: A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. One hour later, a cyclist starts at the beginning of the trail and travels at a rate of 14 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?
Click here to see answer by Alan3354(69443)

Question 1110487: Car A is traveling along a freeway at 100km/h when it is passed by car B. If both cars maintain a constant speed and the end of the freeway is in 10km away, find the speed at which car B must travel to beat car A to the end of the freeway by one minute.
Click here to see answer by josmiceli(19441)

Question 1110486: I traveled from A to B at 100km/h. The trip would take me 3 hours more at 80km/h. How far is it from A to B?
Click here to see answer by Alan3354(69443)

Question 1110524: Given d= rt where d is the distance, r is the average speed, and t is the elapsed time, evaluate the formula for the given values. A missile travels at the rate of 4700 mi / h. Find the distance it will travel in 45 min ( not the units given ) find the distance it will travel in 45 min.
Click here to see answer by ikleyn(52754)

Question 1110578: Two boats leave a port at the same time one going north and the other traveling south the northbound boat travels 18 mph faster than the southbound boat if the southbound boat is traveling at 46 mph how long will it be before they are 1650 miles apart
Click here to see answer by ikleyn(52754)

Question 1110579: bill can row 3 mph in still water. it takes him 3 hours and 36 minds to go 3 miles upstream and return. find the speed of the current.
Click here to see answer by greenestamps(13195)

Question 1110601: if an amusement park ride rotates 2845 degrees counterclockwise, how many complete revolutions does the ride make? how many degrees from his initial position would a rider end up?
Click here to see answer by Alan3354(69443)

Question 1110605: a parasailer is towed by a motor boat at an angle of 43 degrees 20' above the water.
a. which trigonometric raio represents the ratio of the parasailer's height, h, to the length of the rope,i?
b. if the rope is 300 ft long, use a trigonometric ratio to find the height of the parasailer (to the nearest foot).
Click here to see answer by Boreal(15235)

Question 1110603: a pilot flying at 4000 ft approaches a runway and determines that the angles of depression to either end of the runway are 10 degrees and 6 degrees 40' find the length of the runway.
Click here to see answer by Boreal(15235)

Question 1110602: a pilot knows that a second aircraft flying in his formation is 1000 ft away at a bearing of 135 degrees relative to his plane. find the exact horizontal and vertical components of distance between the two aircraft.
Click here to see answer by Alan3354(69443)

Question 1110637: A rocket accelerates from rest at the rate of 55 m/s^2 for 20 s. It then moves at a constant speed for 5 s after which it accelerates at -35 m/s^2 until it stops. What is the distance travelled during the slowing down period?
Click here to see answer by KMST(5328)

Question 1110663: Rebecca, Meg, & Kris drive together from there house to visit their grandparents. Kris drives 65 miles, and Rebecca drives 2 times far as Kris. Then Meg drives twice as far as Kris & Rebecca combined, which gets them to their grandparents house. How far did Meg drive?
Click here to see answer by josgarithmetic(39613)

Question 1110674: Car A and car B enter an expressway at the same time and place and head the same direction. Car A travels at 76 miles per hour. After 3 hours, car B is 42 miles behind car A. What is the speed of var B?
After dieting and excersing for several months, Sam now weighs 20% less than he did originally. If Sam now weighs 180 pounds, how much did he weigh originally?

Click here to see answer by ikleyn(52754)

Question 1110678: Steve drove from Woolloomooloo to Kurri Kurri in 3 hours. Julie left Woolloomooloo at the same time, but drove 5km/h slower and arrived in Kurri Kurri 20 mins later than Steve. Find the distance from Woolloomooloo to Kurri Kurri in kilometres,
Click here to see answer by ikleyn(52754)

Question 1110689: At a speed of 50kph, a certain scooter uses 1 liter of diesel every 30km. If the scooter starts with a full 12 liter tank of diesel and travels 5 hours at 50 kph, the amount of diesel used would be what fraction of a full tank?
Click here to see answer by josmiceli(19441)

Question 1110800: Rolly and Romy are 15 kilometers apart and walking towards each other. If Rolly is walking at a rate of 7kph and Romy at a rate of 3kph, in how many hours will they meet?
Click here to see answer by josgarithmetic(39613)

Question 1110844: If a car travels at an average speed of x-miles per hour. How fast would the car travel in 90 minutes.
Click here to see answer by ikleyn(52754)

Question 1110857: Two trains leave towns 1220 km apart at the same time and travel toward each other. One train travels 10km/h slower than the other. If they meet in 5 hours, what is the rate of each train?
Click here to see answer by ikleyn(52754)

Question 1110879: megan traveled 165 miles to visit friends. on the return trip she was delayed by construction and had to reduce her average speed by 22 miles per hour. the return trip took 2 hours longer. what was the time and average speed for each part of the trip?
Click here to see answer by josgarithmetic(39613)

Question 1110783: A train is 100 miles west of Pierce College, and is traveling East in a straight line at 60 miles per hour. How long will it take for the train to be 410 miles East of Pierce College?
Click here to see answer by jorel1380(3719)

Question 1110902: Two trains leave towns 1220km apart at the same time and travel toward each other. One train travels 10km/h slower than the other. If they meet in 5 hours, what is the rate of each train?
Click here to see answer by ikleyn(52754)

Question 1110907: Ashley can ride her bicycle 15 miles in 2 hours, there are 60 minutes in one hour and there are 1,760 yards in 1 mile. How many yards does Ashley travel each minute?
Click here to see answer by ikleyn(52754)

Question 1110908: Given the distance of the track from the station to the loop is 165 feet. It takes 3 seconds to cover the distance. Calculate the acceleration rate of this ride. Time to loop is 3 seconds. (Acceleration= Final Velocity-Initial Velocity/Time)
Click here to see answer by ikleyn(52754)

Question 1110949: sketch each angle and its reference triangle in the unit circle. then sketch to find each exact value.
sin 2π/3
Click here to see answer by Alan3354(69443)

Question 1110941: Melanie�s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?

Click here to see answer by ikleyn(52754)

Question 1110948: state the amplitude and period of the function; then graph (include -2π≤x≤2π)
k(x)=-sin 1/2 x
Click here to see answer by Alan3354(69443)

Question 1110959: For a total of 8 hours, Tan rode her motorcycle down a freeway at 55 kilometersperhour. There was a car behind her for one-quarter of that time. How far did Tan ride while the car was behind her?
Click here to see answer by ikleyn(52754)

Question 1111070: state the amplitude and period of the function; then graph (include -2π≤x≤2π)
k(x)=-sin 1/2 x
Click here to see answer by Alan3354(69443)

Question 1111066: A train leaves a station at 11am, heading north. Another train, 320 km away, leaves at the same time, heading south. The average speed of the train heading north is 20 km/hr faster than that of the train heading south. If the trains pass each other at 1.30 pm, what was the average speed of the southbound train?
Click here to see answer by josmiceli(19441)

Question 1111069: sketch each angle and its reference triangle in the unit circle. then sketch use the sketch to find each exact value. problem below.
sin 2π/3
Click here to see answer by stanbon(75887)

Question 1111099: Two cars, A and B, 148 kilometers apart, traveled toward each other. A started at 6 a.m. while B started an hour later. They met on the road at 9 a.m. Had both of them started at 6 a.m., they would have met at 8:28. Find the speed.
Click here to see answer by ikleyn(52754)

Question 1111182: The average discharge at the mouth of the Amazon River is 400,000 cubic feet per second. How much water is discharged from the Amazon River in one hour? in one year?
How much water is discharged from the Amazon River in one hour?
__ft^3
(Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Click here to see answer by ikleyn(52754)

Question 1111244: The average discharge at the mouth of the Amazon River is 4,400,000 cubic feet per second. How much water is discharged from the Amazon River in one hour? in one year?
How much water is discharged from the Amazon River in one hour?
___ft^3
(Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Example of how the answer should look: There are 1.072�10^14 cubic feet of water discharged from the mouth of the Amazon River in a year.
Side note: Would really like it if someone can give me the answer.
Click here to see answer by Theo(13342)

Question 1111287: If Car A is sitting still, and Car B hits it and causes it to move 285 feet in 30 seconds, what is the speed of Car B?
Click here to see answer by ikleyn(52754)

Question 1111285: The mass of Mercury is about 3.302 �10^20 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons.
About how many times the mass of Mercury is the mass of the sun? Give your answer in scientific notation.
Click here to see answer by Alan3354(69443)

Question 1111342: Car A leaves at 12 pm driving 50 mph and arrives at the destination at 3 pm. Car B leaves at 1 pm. How many mph does car B have to being going to arrive at 3 pm?
Click here to see answer by Boreal(15235)

Question 1111339: The average amount of rain in Mudville is 49 inches per year. The standard deviation is 5 inches. Find the approx. probability that Mudville will receive more than 59 inches in 1 year
Click here to see answer by Boreal(15235)

Question 1111358: the length of a shadow cast by a sundial with a 3 foot tall gnomon is given by I(0) = 3 cot 0, where 0 is the angle of the sun above the eastern horizon. (0�≤0≤ 180�)
a. sketch a graph for the function.
b. identify the asymptotes and interpret what they represent in th contex of the problem.
c. for what values of 0 does the rod cast a 3 foot shadow?
Click here to see answer by Boreal(15235)

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