Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1148683: A plane made a trip of 350 km with the wind in an hour. Returning against the wind it took an hour and 10 minutes. Find the speed of the plane in still air and the rate of the wind. (2 variables and full solutions please, thanks!)
Click here to see answer by Alan3354(69443)  |
Question 1148683: A plane made a trip of 350 km with the wind in an hour. Returning against the wind it took an hour and 10 minutes. Find the speed of the plane in still air and the rate of the wind. (2 variables and full solutions please, thanks!)
Click here to see answer by greenestamps(13334)  |
Question 1148730: A pilot takes a trip to visit relatives there at a speed of 100 miles per hour. On the way back home, the pilot travels at 80 miles per hour. If the round trip took nine hours, how far did the pilot travel to visit her relatives?
Click here to see answer by greenestamps(13334)  |
Question 1148759: A boat travelling at full speed against a current goes 14 kph. Travelling at half speed with current goes 10 kph. Find the rate of the current and the maximum speed of the boat. (use x and y variables and show a full solution please? thanksss!)
Click here to see answer by ikleyn(53763)  |
Question 1148943: Mario leaves the office and drives downtown at 48 mph. Danica leaves at the same time driving in the same direction at 42 mph. If Mario leaves office at 5:00 pm, at what time they will be 15 miles apart?
Jimmy's Plane leaves at 9:00 am at 40 mph. An hour later, Sally's plane leaves the same airport travelling in the same direction at 60 mph. At what time will Sally's plane catch up to Jimmy's ?
Click here to see answer by josmiceli(19441)  |
Question 1148972: A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he gets tired and decides to get a taxi. The taxi gets him to the top traveling at a constant speed of 50 mph. If the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?
Click here to see answer by greenestamps(13334)  |
Question 1148972: A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he gets tired and decides to get a taxi. The taxi gets him to the top traveling at a constant speed of 50 mph. If the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?
Click here to see answer by ikleyn(53763)  |
Question 1149025: Members of the Healthy Reading Club ran from their club house to a first rest stop at a speed of 9 km/h, and from there to the second rest stop at a speed of 5 km/h. They returned along the same course, running at 10 km/h from the second rest stop to the first, and at 6 km/h the rest of the way to the club house. If it took a total of 2.5 hours to run both ways between the club house and the first rest stop, and 3 hours to run both ways between the first and second rest stops. How far, in km, did they run altogether?
Click here to see answer by ikleyn(53763)  |
Question 1149024: A jogger has attempted to run across a railroad bridge, but sees a train coming after competing 3/4 of the trip. If the train is traveling at 30 km/h, and if it is possible for the jogger to just escape being hit by the train running at full speed to either end of the bridge, what is the minimum speed, in km/h, that this jogger must be able to run?
Click here to see answer by ikleyn(53763)  |
Question 1149023: Joan and Jim run around the same circular track, starting together and running in the same direction. Joan takes 3 minutes to complete one circuit of the track while Jim takes 7.5 minutes to run the same distance. What is the value of x if Joan passes Jim every x minutes?
Click here to see answer by ikleyn(53763)  |
Question 1149021: A family vacation trip took 12 hours. Of the total distance, 4/5 was in a car and 1/5 was in a boat, and the car traveled 5 times as fast as the boat. How much more time, in hours, was spent in the boat than in the car?
Click here to see answer by ikleyn(53763)  |
Question 1149147: From the top of a hill 42.5 m above a stream, the angles of depression to a point on the near shore and a point on the opposite shore are 42.3° and 40.6°, respectively. Find the width of the stream between these two points. Include a diagram.
Click here to see answer by ikleyn(53763)  |
Question 1149144: The base-station antenna of a two-way radio is on the roof of a fire hall, 18.0 m above ground level. The signal from a fire truck arrives at the antenna at an angle of 2.10° relative to the road. How far away is the fire truck? Include a diagram.
Click here to see answer by ikleyn(53763)  |
Question 1149145: From the observation deck of Toronto’s CN tower, 346 m above the surface of Lake Ontario, the angle of depression of sighting a sailboat out on the lake is observed to be 21.6°. Determine how far away the sailboat is from the base of the tower. Include a diagram.
Click here to see answer by ikleyn(53763)  |
Question 1149143: Your survey boat travels along the base of very high cliffs at the Western Brook Pond fjord in Newfoundland. A spectacular waterfall cascades down the side of the rock formation. You can get a very accurate measure of the distance from the boat to the rock face (strong echoes return to your range finder), but you cannot get a good reflection off the top of the falls. You use a sighting device to measure the angle of elevation as 78.0°. If the distance to the rock face is 127 m, how tall are the falls?
Click here to see answer by ikleyn(53763)  |
Question 1149197: Two gardeners can do the weekly yard maintenance is 18 minutes if they work together. The older gardener takes 33 minutes more than the younger gardener to finish the job my himself. How long does it take for each gardener to do the weekly yard maintenance individually?
Click here to see answer by greenestamps(13334)  |
Question 1149196: A couple took a small airplane for a flight to the wine country for a romantic dinner and then returned home. The plane flew a total of 8 hours and each way the trip was 424 miles. If the plane was flying at 180 miles per hour, what was the speed of the wind that affected the plane?
Click here to see answer by greenestamps(13334)  |
Question 1149270: Bob leaves Pittsburgh traveling west. Jim leaves from the same point two hours later and travels the same route at 18 miles per hour faster than bob. If Jim wants to catch up four hours after he leaves, how fast will he have to go?
Click here to see answer by ikleyn(53763)  |
Question 1149393: Mary and John have both completed a trip up an escalator. John took 15 steps on the way up and took 12 seconds to reach the top. Mary took only 7 steps, and took 18 seconds to reach the top. How many steps does the escalator have in total?
Click here to see answer by greenestamps(13334)  |
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