Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1208730: A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is given by
s = 96 + 80t - 16t^2.
A. After how many seconds does the ball strike the ground?
My setup:
0 = 96 + 80t - 16t^2
You say?
B. After how many seconds will the ball pass the top of the building on its way down?
For part B, I must let s = 96 and solve for t. The building is 96 feet tall.
You say?
Click here to see answer by ikleyn(52747)   |
Question 1208731: An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is given by s = -4.9t^2 + 20t.
A. When will the object be 15 meters above the ground?
For part A, I must let s = 15 and solve for t. You say?
B. When will the object strike the ground?
For part. B, I must let s = 0 and solve for t. Correct?
C. When will the object reach a height of 100 meters?
For part C, let s = 100 and solve for t.
Am I correct?
Click here to see answer by ikleyn(52747) |
Question 1208731: An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is given by s = -4.9t^2 + 20t.
A. When will the object be 15 meters above the ground?
For part A, I must let s = 15 and solve for t. You say?
B. When will the object strike the ground?
For part. B, I must let s = 0 and solve for t. Correct?
C. When will the object reach a height of 100 meters?
For part C, let s = 100 and solve for t.
Am I correct?
Click here to see answer by math_tutor2020(3816) |
Question 1208465: The basic one-way air fare for a child aged between 3 and 10 years costs half the regular basic fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
Click here to see answer by MathTherapy(10549)  |
Question 1208481: Hi
John and Lester were cycling towards the finish line. 15km from the end John passed Lester. John reached the end 45 minutes earlier than Lester who was still 9km from the end. What was John's speed after overtaking Lester.
Click here to see answer by MathTherapy(10549) |
Question 1208785: Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?
Click here to see answer by ikleyn(52747) |
Question 1208793: The probability of Janet winning a hockey match is 3/2 times the probability of Chrissy winning a cricket match. The probability of Jack winning a race is twice the probability of Chrissy winning the cricket match. What is the maximum probability of Janet winning the hockey match?
Click here to see answer by ikleyn(52747) |
Question 1208808: A tub can be filled with hot water in 18 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 9 minutes. Farley ran the hot water in his tub for 8 minutes, then both the cold and hot water together for 2 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 greenestamps(13195)  |
Question 1208808: A tub can be filled with hot water in 18 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 9 minutes. Farley ran the hot water in his tub for 8 minutes, then both the cold and hot water together for 2 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 josgarithmetic(39613) |
Question 1208808: A tub can be filled with hot water in 18 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 9 minutes. Farley ran the hot water in his tub for 8 minutes, then both the cold and hot water together for 2 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 1208808: A tub can be filled with hot water in 18 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 9 minutes. Farley ran the hot water in his tub for 8 minutes, then both the cold and hot water together for 2 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 1208808: A tub can be filled with hot water in 18 minutes, or with cold water in 12 minutes. The tub can also be emptied when the plug is pulled out, in 9 minutes. Farley ran the hot water in his tub for 8 minutes, then both the cold and hot water together for 2 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 MathTherapy(10549) |
Question 1208698: A builder of tract homes reduced the price of a model by 15%. If the new price is $425,000, what was its original price? How much can be saved by purchasing the model?
All throughout my time with math (all my life), setting up the right equation using the given data in word problems has been a major personal frustration.
Here is my effort, which is wrong.
Price of model = x
Reduced by 15% = x - 0.15
Equate to new price:
x - 0.15 = 425,000
This is obviously and miserably wrong.
I know there is a general equation or formula for finding the original price of items. However, let's say you are taking a test and came across this question. You don't know if there is a general equation or formula that can be used to find the original price. How would you approach this problem to find the correct answer?
Click here to see answer by MathTherapy(10549) |
Question 1208698: A builder of tract homes reduced the price of a model by 15%. If the new price is $425,000, what was its original price? How much can be saved by purchasing the model?
All throughout my time with math (all my life), setting up the right equation using the given data in word problems has been a major personal frustration.
Here is my effort, which is wrong.
Price of model = x
Reduced by 15% = x - 0.15
Equate to new price:
x - 0.15 = 425,000
This is obviously and miserably wrong.
I know there is a general equation or formula for finding the original price of items. However, let's say you are taking a test and came across this question. You don't know if there is a general equation or formula that can be used to find the original price. How would you approach this problem to find the correct answer?
Click here to see answer by greenestamps(13195) |
Question 1208713: A college book store marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $92.00, how much did the bookstore pay for this book?
Let me see.
Let x = money the store paid for the book
The store sold the book for $92 after marking up the price they paid for the book by 35%.
This is where I start guessing my way to the equation I hope is correct to solve the problem. After more than 15 minutes with this question, I gave up.
This is my equation based on my understanding:
0.35x = 92.00
Obviously, I am wrong because the correct answer is $68.15.
What equation setup leads to $68.15?
Click here to see answer by MathTherapy(10549) |
Question 1208713: A college book store marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $92.00, how much did the bookstore pay for this book?
Let me see.
Let x = money the store paid for the book
The store sold the book for $92 after marking up the price they paid for the book by 35%.
This is where I start guessing my way to the equation I hope is correct to solve the problem. After more than 15 minutes with this question, I gave up.
This is my equation based on my understanding:
0.35x = 92.00
Obviously, I am wrong because the correct answer is $68.15.
What equation setup leads to $68.15?
Click here to see answer by greenestamps(13195) |
Question 1208853: Tammy starts her aerobics exercises every day after 6am, when the hands of the clock first angle make a 90 degree angle. She finishes after 7am, when the hands of the clock make a 120 degree angle. How much time does Tammy spend exercising every week?
Click here to see answer by greenestamps(13195) |
Question 1208853: Tammy starts her aerobics exercises every day after 6am, when the hands of the clock first angle make a 90 degree angle. She finishes after 7am, when the hands of the clock make a 120 degree angle. How much time does Tammy spend exercising every week?
Click here to see answer by KMST(5328)  |
Question 1208852: A civil engineer relates the thickness T, in inches, and height H, in feet, of a square wooden pillar to its crushing load L, in tons, using the model T = [{(LH^2)/25}]^(1/4). If a square wooden pillar is 4 inches thick and 10 feet high, what is its crushing load?
Click here to see answer by ikleyn(52747) |
Question 1208866: Amy has a pen 13 cm long that she wants to send as a gift to a friend. She finds a rectangular box in which the pen just fits. The length and width of the box are 3 cm and 12 cm respectively. What is the height of the box?
Click here to see answer by timofer(104) |
Question 1208866: Amy has a pen 13 cm long that she wants to send as a gift to a friend. She finds a rectangular box in which the pen just fits. The length and width of the box are 3 cm and 12 cm respectively. What is the height of the box?
Click here to see answer by ikleyn(52747) |
Question 1208867: Tammy starts her aerobic exercises every day after 6 a.m., when the hands of the clock first make a 90° angle. She finishes after 7 a.m., when then hands of the clock make a 120° angle. How much time does Tammy spend exercising every week?
Click here to see answer by ikleyn(52747) |
Question 1208874: In the diagram, AB is the diameter of the large circle. The smaller circles both have their centres on AB, and both are tangent to each A other and to the large circle. If AC is the length of AB, what fraction of the diagram is shaded?
https://ibb.co/DtCYH1c
Click here to see answer by ikleyn(52747) |
Question 1208889: The distance to the surface of the water in a well can sometimes be found by dropping an object into the well and measuring the time elapsed until a sound is heard. If t_1 is the time (measured in seconds) that it takes for the object to strike the water, then t_1 will obey the equation s = 16(t_1)^2, where s is the distance (measured in feet).
It follows that t_1 = sqrt{s}/4. Suppose that t_2 is the time that it takes for the sound of the impact to reach your ears. Because sound waves are known to travel at a speed of about 1100 feet per second, the time t_2 to travel the distance s will be t_ 2 = s/(1100). Now t_1 + t_2 is the total time that elapses from the moment that the object is dropped to the moment that a sound is heard.
We have the equation:
Total time elapsed = [sqrt{s}/4] + [s/1100)]
Find the distance to the water's surface if the total time elapsed from dropping a rock to hearing it hit the water is 4 seconds.
Click here to see answer by ikleyn(52747) |
Question 1208923: Tripper lives in a house on a straight street. For years, there have been 16
houses on his street to the right of his house and 17 houses on his street to
the left of his house. Last year, 5 new houses were built on the same street
even further to the left of those houses to the left of Tripper's house. If
these are the only houses on this street, how many houses are on this street?
Click here to see answer by mccravyedwin(405)  |
Question 1208942: The speed of a moving walkway is typically about 2.5 feet per second. Walking on such a moving walkway, it takes Judy a total of 40 seconds to travel 50 feet with the movement of the walkway and then back against the movement of the walkway. What is Judy's normal walking speed?
Click here to see answer by josgarithmetic(39613) |
|
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
|
