Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 488292: Please help me solve this word problem, I do not understand what to do.
It takes John 30 minutes to clean his house, When his wife helps him, it only takes him 18 minutes. How long would it take his wife by herself?
Click here to see answer by ikleyn(52957)   |
Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.
O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:
D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
Average Speed = S
D1/5 + D2/9 = S
D1/5 = D2/9+144 ( I tried substituting this in )
D2/9+144 + D2/9 = S ( then I combined the like terms )
D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.
Please help me someone I am so bad at word problems and I would love to be confident at them.
P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.
Click here to see answer by greenestamps(13219)  |
Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.
O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:
D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
Average Speed = S
D1/5 + D2/9 = S
D1/5 = D2/9+144 ( I tried substituting this in )
D2/9+144 + D2/9 = S ( then I combined the like terms )
D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.
Please help me someone I am so bad at word problems and I would love to be confident at them.
P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.
Click here to see answer by MathTherapy(10560)  |
Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.
O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:
D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
Average Speed = S
D1/5 + D2/9 = S
D1/5 = D2/9+144 ( I tried substituting this in )
D2/9+144 + D2/9 = S ( then I combined the like terms )
D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.
Please help me someone I am so bad at word problems and I would love to be confident at them.
P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.
Click here to see answer by ikleyn(52957) |
Question 1166905: A kayaker was paddling due East at 3mph and an orca was swimming due North at 10mph. If they started 1 mile apart, how long did it take for the orca to swim underneath the kayaker? Model this problem with an algebraic equation. Show work!
Click here to see answer by ikleyn(52957) |
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
Click here to see answer by mccravyedwin(412)  |
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
Click here to see answer by ikleyn(52957) |
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
Click here to see answer by Edwin McCravy(20067)  |
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
Click here to see answer by MathTherapy(10560) |
Question 1168000: A certain airplane can maintain a speed, without the presence of wind, of 210 mi/h and goes in the direction N 30° E. A wind is blowing west at 30 mi/h. Determine the final bearing of the plane and its ground speed. Calculate the speed in mi/h and the bearing in degrees.
Click here to see answer by ikleyn(52957) |
Question 1168000: A certain airplane can maintain a speed, without the presence of wind, of 210 mi/h and goes in the direction N 30° E. A wind is blowing west at 30 mi/h. Determine the final bearing of the plane and its ground speed. Calculate the speed in mi/h and the bearing in degrees.
Click here to see answer by CPhill(1987)  |
Question 1168291: The world record for the 10,000 m run has been decreasing steadily since 1940. the function R(t)=30.18-0.06t estimates the record R, in minutes, as a function of t, the time in years since 1940. estimate the record for 2012
Click here to see answer by ikleyn(52957) |
Question 1165530: An engineer in a locomotive sees a car stuck
on the track at a railroad crossing in front of
the train. When the engineer first sees the
car, the locomotive is 160 m from the crossing
and its speed is 29 m/s.
If the engineer’s reaction time is 0.22 s,
what should be the magnitude of the minimum deceleration to avoid an accident?
Answer in units of m/s^2
.
Click here to see answer by ikleyn(52957) |
Question 1171404: Hi
Town P and town Q are 720km apart.Maggie & Andrew left town P at the same time. The average speed of Andrew was 40km per hour, Maggies was 60km per hour. As soon as they passed Point K which was 1/3 of the total distance,Maggie began to travel at a speed of 80km per hour. Both of them took the same number of hours to travel from town P to town Q.
How long did Maggie take to travel from town P to Point K.
What was Andrews speed from Point K to town Q.
Thanks
Click here to see answer by MathTherapy(10560) |
Question 1171404: Hi
Town P and town Q are 720km apart.Maggie & Andrew left town P at the same time. The average speed of Andrew was 40km per hour, Maggies was 60km per hour. As soon as they passed Point K which was 1/3 of the total distance,Maggie began to travel at a speed of 80km per hour. Both of them took the same number of hours to travel from town P to town Q.
How long did Maggie take to travel from town P to Point K.
What was Andrews speed from Point K to town Q.
Thanks
Click here to see answer by josgarithmetic(39633) |
Question 1171450: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on the observation deck, 1150 ft abouve the ground, wants to determine the distance between two landmarks on the ground below. She observes that the angle formed by the lines of sight to these two landmarks is 43°. She also observes that the angle between the vertical and the line of sight to one of the landmarks is 62° and that to the other landmark is 54°. Find the distance between the two landmarks.
Click here to see answer by CPhill(1987) |
Question 1171451: A water tower 30 m tall is located at the top of a hill. From a distance of 120 m down the hill it is observed that
the angle formed between the top and base of the tower is 8°. Find the angle of inclination of the hill; that is, the
angle that the slope of the hill makes with the horizontal.
Click here to see answer by ikleyn(52957) |
Question 1209809: Mark is involved in a cross country run and starts down the path at his normal pace; he usually covers 12 m in 2.0 s. After tying his shoelace for 15 s, Frank discovers that he has just given Mark a large lead. Nonetheless, Frank is faster at 6.5 m/s. Determine:
How long does it take Frank to catch Mark? (180 s)
If the race is 3 km in length, who finishes first and by what distance? (Frank, 140 m)
Click here to see answer by ikleyn(52957) |
Question 1177526: 1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)If it is 11:45am in Adelaide, what time is it in Moscow?
3) If it is 11:20am in Caracas what time is it in Auckland?
Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Frankfurt ST +1
Caracas ST -4
Auckland ST 11
Adelaide ST 8.5
Moscow ST 3
*Previous Day ST: Summer Time
Click here to see answer by CPhill(1987) |
Question 1177535: Questions:
1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)How long does the flight from Lisbon to Frankfurt take?
3) At what Shanghai local time is the Tokyo-frankfurt flight due to arrive in frankfurt?
INFO:
Leaving Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Lisbon 7:35am 11.30am Frankfurt ST +1
Tokyo 12:30pm 8:45pm Shanghai ST +8
*Previous Day ST: Summer Time
Click here to see answer by CPhill(1987) |
Question 1177536: Questions:
1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)If it is 11:45am in Adelaide, what time is it in Moscow?
3) If it is 11:20am in Caracas what time is it in Auckland?
INFO:
Leaving Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Lisbon 7:35am 11.30am Frankfurt ST +1
Tokyo 12:30pm 8:45pm Shanghai ST +8
Auckland ST +11
Adelaide ST +8.5
*Previous Day ST: Summer Time
Click here to see answer by CPhill(1987) |
Question 1178660: A ship is sailing south west with a speed of 16√2 km/h and a submarine is travelling with velocity of (20i + 15j) km/h.
(a) Find the velocity vector of the ship.
(b) Find the velocity of the ship relative to the submarine.
Click here to see answer by CPhill(1987) |
Question 1178662: A stationary observer O observes a ship S at noon, at a point whose coordinates relative to O are (20, 15); the units are kilometres. The ship is moving at a steady 10 km/h on a bearing of 150 degrees.
a) Express its velocity as a colum vector.
b) Write down in terms of t, its position after t hours.
c) Hence, find the value of t when it is due East of O. How far is it from O at this instant?
Click here to see answer by CPhill(1987) |
Question 1181618: Modern oil tankers weigh more than a 1/2 million tons and have lengths up to one - fourth mile. Such massive ships require a distance of 5.0 km about (3.0 mi) and a time of 20 minutes to come to a stop from top speed of 30 km/h.what is the magnitude of such ship's average acceleration in m/s squared in coming to a stop?
B. What is the magnitude of the ship's average velocity in m/s
Click here to see answer by ikleyn(52957) |
Question 1181618: Modern oil tankers weigh more than a 1/2 million tons and have lengths up to one - fourth mile. Such massive ships require a distance of 5.0 km about (3.0 mi) and a time of 20 minutes to come to a stop from top speed of 30 km/h.what is the magnitude of such ship's average acceleration in m/s squared in coming to a stop?
B. What is the magnitude of the ship's average velocity in m/s
Click here to see answer by CPhill(1987) |
Question 1181762: Modern Oil tankers weigh more than a half - million tons and have a length of up to one fourth - mile. Such massive ships require a distance of 5.0 km ( about 3.0 mi ) And a time of 20 minutes to come to a stop from top speed of 30 km/h
A. What is the magnitude of such a ship's average acceleration in m/s²
and coming to a stop ?
B. What is the magnitude of the ship's average velocity in m/s ?
Click here to see answer by CPhill(1987) |
Question 1181806: A motorist goes for a drive, keeping the reading on the speedometer at a constant value of 40 km h−1. The speedometer is assumed to be accurate to ± 2 km h−1. At the end of the day he wants to know how far he has travelled, but unfortunately, he forgot to look at the distance indicator when he set out. He thinks that he drove for four hours, give or take a quarter of an hour. Estimate how far he travelled and assign an error to your result.
Click here to see answer by CPhill(1987) |
Question 1181807: The volume of the rectangular block in the figure is calculated from the following measurements of its dimensions: �10.00±0.10 cm, �5.00±0.06 cm and �4.00±0.04 cm. Calculate the error in the value of the volume of the block assuming: a) the errors are independent b) the errors are correlated such that they all push the estimate in the same direction.
Click here to see answer by CPhill(1987) |
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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620
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