Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1204314: A boat travels 20 km/h in still water. If this boat goes upstream in a river flowing at a rate of 6 km/h, for 10 km, and then returns back downstream to its starting point, what is the average speed for the whole trip in km/h?
Click here to see answer by mananth(16946)   |
Question 1204325: Bobo's average for six mathematics tests is 97%. He made the same grade on each of the first five tests. His score on the last test was 12 points lower than the first five scores. What was Bobo's score on the last test?
Click here to see answer by ikleyn(52747)  |
Question 1204324: Every day, Jane and Bill both drive to a parking lot, and then take a subway to get to work. Jane drives 25 km at 60 km/h, and then takes a northbound subway that averages 35 km/h for 18 km while Bill drives 40 km at 80 km/h and then takes a southbound subway that averages 24 km/h for 25 km. It takes each of them 15 minutes to change from car to subway, and they arrive at the same destination at 8:30 a.m. At what time does the earliest of them leave home?
Click here to see answer by MathLover1(20849)  |
Question 1204382: Hi,
So my friends have been going crazy over a problem. I'm not sure of the exact wording of the problem, so if there is a similar version in your mind which makes more sense, please assume it to be the real version. (The way you guys assume that when a student says x + 1 / 2 they mean  )
"I have two more sisters than brothers and each of my sisters have two more sisters than brothers. How many more sisters than brothers does the oldest brother have?"
This is a bit of a variation on a similar problem I posted recently. Please walk me through this.
Thank you!!
Click here to see answer by MathLover1(20849) |
Question 1204383: Hi, I just posted this problem but judging by Ms.MathLover's response, I have confused people. Here's a clearer version of the question:
"I have two more sisters than brothers and each of my sisters have two more sisters than brothers. How many more sisters than brothers does the oldest brother have?"
This is a bit of a variation on a similar problem I posted recently. Please walk me through this.
Thank you!!
Click here to see answer by ikleyn(52747) |
Question 1204383: Hi, I just posted this problem but judging by Ms.MathLover's response, I have confused people. Here's a clearer version of the question:
"I have two more sisters than brothers and each of my sisters have two more sisters than brothers. How many more sisters than brothers does the oldest brother have?"
This is a bit of a variation on a similar problem I posted recently. Please walk me through this.
Thank you!!
Click here to see answer by MathLover1(20849) |
Question 1204397: Hi, I need help on the question from this, and have a question for Ms.Ikelyn:
https://www.algebra.com/tutors/students/your-answer.mpl?question=1204383
So if the numbers of girls is thee more than the number of boys, than how come each brother has FOUR more sisters than brothers?
Thank you!
Click here to see answer by MathLover1(20849) |
Question 1204397: Hi, I need help on the question from this, and have a question for Ms.Ikelyn:
https://www.algebra.com/tutors/students/your-answer.mpl?question=1204383
So if the numbers of girls is thee more than the number of boys, than how come each brother has FOUR more sisters than brothers?
Thank you!
Click here to see answer by ikleyn(52747) |
Question 1204412: At exactly 12 o'clock noon the hour hand of a clock begins to move at twice its normal speed, and the minute hand begins to move backward at half its normal speed. When the two hands next coincide, what will be the correct time?
Click here to see answer by MathLover1(20849) |
Question 1204412: At exactly 12 o'clock noon the hour hand of a clock begins to move at twice its normal speed, and the minute hand begins to move backward at half its normal speed. When the two hands next coincide, what will be the correct time?
Click here to see answer by ikleyn(52747) |
Question 1186342: At exactly 12 o’clock noon the hour hand of a clock begins to move at twice its
normal speed, and the minute hand begins to move backward at half its normal
speed. When the two hands next coincide, what will be the correct time?
Click here to see answer by ikleyn(52747) |
Question 1204434: On a wall   cm wide, Peter is going to hang five pictures beside each other, each measuring   cm wide. He will leave   cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture and will centre these nails leaving  cm between each pair. How far, in cm, from the end of the wall (on either side) will the first nail be placed?
Click here to see answer by math_tutor2020(3816) |
Question 1204434: On a wall cm wide, Peter is going to hang five pictures beside each other, each measuring cm wide. He will leave cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture and will centre these nails leaving cm between each pair. How far, in cm, from the end of the wall (on either side) will the first nail be placed?
Click here to see answer by MathTherapy(10549)  |
Question 1204512: Find the absolute max and min values of f(x) = 1 + 96x - 2x^3 on the interval [0,5].
I know I need to find the CP.
f'(x) = 96 - 6x^2
6x^2 = 96
x^2 = 16
x = 4 and x = -4
Then I need to evaluate the functions at X=4, X=-4, X=0 and X=5
f(-4) = 1 + 96(-4) -2(-4)^3 = -255
f(0) = 1 + 96(0) -2(0)^3 = 1
f(4) = 1 + 96(4) - 2(4)^3 = 257
f(5) = 1 + 96(5) - 2(5)^3 = 231
So I know the min is -255 and the max is 257 but then when I put it into the problems under "find the absolute maximum of f on the interval" and "find the absolute minimum of f on the interval" I enter in -255 for min and 257 for max and the program says it is incorrect. Any help would be greatly appreciated :)
Click here to see answer by ikleyn(52747) |
Question 1204526: Consider the function f(x) = x-3ln(x), 1/3 <= x <= 9
The absolute maximum value is ___ at x = ___
The absolute minimum value is ___ at x = ___
I know I need to find the CP
f'(x) = 1 - 3/x
1-3/x = 0
1 = 1/3x
x = 3
and there are the end points at 0 and 9
f(0) = 1/3 - 3ln(1/3) = 1/3 + 3ln(3)
f(3) = 3 - 3ln(3)
f(9) = 9 - 3ln(9) = 9 - 6ln(3)
However, I put these answers in and the autograder says they are incorrect and any help is appreciated :)
Click here to see answer by ikleyn(52747) |
Question 1204526: Consider the function f(x) = x-3ln(x), 1/3 <= x <= 9
The absolute maximum value is ___ at x = ___
The absolute minimum value is ___ at x = ___
I know I need to find the CP
f'(x) = 1 - 3/x
1-3/x = 0
1 = 1/3x
x = 3
and there are the end points at 0 and 9
f(0) = 1/3 - 3ln(1/3) = 1/3 + 3ln(3)
f(3) = 3 - 3ln(3)
f(9) = 9 - 3ln(9) = 9 - 6ln(3)
However, I put these answers in and the autograder says they are incorrect and any help is appreciated :)
Click here to see answer by MathLover1(20849) |
Question 1204526: Consider the function f(x) = x-3ln(x), 1/3 <= x <= 9
The absolute maximum value is ___ at x = ___
The absolute minimum value is ___ at x = ___
I know I need to find the CP
f'(x) = 1 - 3/x
1-3/x = 0
1 = 1/3x
x = 3
and there are the end points at 0 and 9
f(0) = 1/3 - 3ln(1/3) = 1/3 + 3ln(3)
f(3) = 3 - 3ln(3)
f(9) = 9 - 3ln(9) = 9 - 6ln(3)
However, I put these answers in and the autograder says they are incorrect and any help is appreciated :)
Click here to see answer by greenestamps(13195)  |
Question 1204527: Consider the function f(x) = x-3ln(x), 1/3 <= x <= 9
The absolute maximum value is ___ at x = ___
The absolute minimum value is ___ at x = ___
I know I need to find the CP
f'(x) = 1 - 3/x
1-3/x = 0
1 = 1/3x
x = 3
and there are the end points at 0 and 9
f(0) = 1/3 - 3ln(1/3) = 1/3 + 3ln(3)
f(3) = 3 - 3ln(3)
f(9) = 9 - 3ln(9) = 9 - 6ln(3)
However, I put these answers in and the autograder says they are incorrect and any help is appreciated :)
Click here to see answer by ikleyn(52747) |
Question 1204514: I posted a problem here:
https://www.algebra.com/tutors/students/your-answer.mpl?question=1204510
Ms.Ikelyn provided a similar problem, but I understand to little to find it useful. Can someone walk me through everything on HER solution, or just solve the question.
Click here to see answer by greenestamps(13195) |
Question 1204617: A tub can be filled with hot water in 15 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 10 minutes. Farley ran the hot water in his tub for 6 minutes, then both the cold and hot water together for 3 minutes, and then with the two taps still running, he accidentally pulled the plug. How long did it take, in minutes, for the tub to fill after the plug was pulled?
Click here to see answer by ikleyn(52747) |
Question 1204617: A tub can be filled with hot water in 15 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 10 minutes. Farley ran the hot water in his tub for 6 minutes, then both the cold and hot water together for 3 minutes, and then with the two taps still running, he accidentally pulled the plug. How long did it take, in minutes, for the tub to fill after the plug was pulled?
Click here to see answer by mananth(16946) |
Question 1204617: A tub can be filled with hot water in 15 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 10 minutes. Farley ran the hot water in his tub for 6 minutes, then both the cold and hot water together for 3 minutes, and then with the two taps still running, he accidentally pulled the plug. How long did it take, in minutes, for the tub to fill after the plug was pulled?
Click here to see answer by math_tutor2020(3816) |
Question 1204501: What is the maximum number of bottles, each of diameter 10 cm, that can be packed into a box with a square base measuring 1000 cm by 1000 cm? The diagram below shows the closest packing method.
https://ibb.co/KqVSGkL
i understand Honorable Tutor User Ikelyn has already posted some similar problem but i didnt get it so can u pls just post the solution thx
Click here to see answer by Edwin McCravy(20054)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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
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