# 6th Grade Math Rational Numbers Word Problems

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# Rational Numbers Word Problems

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# Sixth Grade: Rational Numbers Word Problems

Mr. Jenkins can dig a ditch
Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for ...
A marketing manager travels
A marketing manager travels 1080 miles in a corporate jet and then an additional 240 miles by car.  If the car ride takes one hour longer than the jet ride takes, and if the rate of the jet is 6 times the rate of the ...
simplifying rational expressions
Mario can do the work in X hours. Luigi takes one more hour than Mario to do the work. Together they finish the work in 100 ...
A driver averaged 50 miles per hour
A driver averaged 50 miles per hour on the round trip between Baltimore and Philadelphia, 100 miles away.  The average speeds for going and returning were x and y miles per hour, respectively. Show that
y=25x/(x-25)
A grade school is taking a trip
A grade school is taking a trip to the zoo. A parent group of 6 people is responsible for putting together 225 box lunches for the trip. The group hopes to recruit extra people for the task. Write an equation that gives the average number "n" of box lunches made per person as a function of the number "p" of parents that can come in and help complete the task. Then graph the ...
Melanie can paint a certain barn
Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2 x days. Write a rational expression for the fraction of the barn tht they complete in one day by working together. Evaluate the expression for x =5
The sum of a number and its reciprocal
The sum of a number and its reciprocal is 13/6...
Boyle`s Law, applied to the amount of gas
Boyle's Law, applied to the amount of gas used in a given experiment at a constant temperature, states that pV = 240 where p is pressure measured in kilopascals and V is volume measured in cubic centimeters.  If a decrease in pressure of 1 kPa produces an increase in volume of 20 cm^3...
multiplying rational expressions
Maria's favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from ...
James uses 1/3 of his land
James uses 1/3 of his land for growing durians 1/4 for bananas 3/8 for guavas and remaining 9 hectares for ...
At a well known university
At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many underrgraduate students as there are graduate ...
Jaime bought a case of concert T-shirts
Jaime bought a case of concert T-shirts for \$450. She kept two for herself and sold the rest for \$560, making a profit of \$10 on each ...
3/8 of the people at a restaurant are adults
3/8 of the people at a restaurant are adults. If there are 90 more children than ...
A motorboat travels 30 miles
A motorboat travels 30 miles up a river and returned a distance of 27 miles. The entire trip takes 5 hours. If the rate of the motorboat in still water is 12 ...
Suppose that x mL of pure acid
Suppose that x mL of pure acid are added to 130 mL of a 40% acid ...
The additive inverse of a number
The additive inverse of a number divided by twelve is the same as one less than three times its ...
it takes three hours for a pipe
it takes three hours for a pipe to fill a tank of water if the tank does not leak. Our tank has a crack that draines the tank in 5 ...
If k is an interger
If k is an interger and 0.0010101 x 10k is greater than 1...
7 times the reciprocal of a number
7 times the reciprocal of a number plus 2/3 is 3...
At a little league football game
At a little league football game, the concession stand sold 6 orange sodas for every 5 grape sodas sold. If 255 sodas were ...
A motor boat can travel
A motor boat can travel 20 mph in still water. If the boat can travel 3 miles down stream on a river in the same time it takes to travel 2 miles ...
Ariana took 2 hours longer to drive 360 miles
Ariana took 2 hours longer to drive 360 miles on the first day of a trip thans she took to drive 270 miles on the second ...
Find a number such that the sum of three times the number
Find a number such that the sum of three times the number and 25 times the reciprocal of the number is 20
rational numbers
The sum of a number and its reciprocal is 29/10...
There are 42 pupils in a class
There are 42 pupils in a class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30. How many boys are there in the ...
The sum of two rational numbers
The sum of two rational numbers is 15/16. If one of them is 121/112...
Suppose you buy 1 2/3 lb of bananas
Suppose you buy 1 2/3 lb of bananas for .65 ...
Monica went to store and buy
Monica went to store and buy 3 chocalate milk for 2.99 all ...
rational numbers
Is 3pi/2  a rational ...
If a single 2 hp motor draws
If a single 2 hp motor draws 13.8 amps current on 115 volt AC ...
The sum of a number and 8 times its reciprocal
The sum of a number and 8 times its reciprocal is 6...
Jim uses 1/3 of his land
Jim uses 1/3 of his land for growing durians. 3/8 for guavas. 1/4 for bananas and remaining 9 hectres for ...
Nine times the reciprocal of a number
Nine times the reciprocal of a number equals 3 times the reciprocal of 7...
Roma`s skates cost
Roma's skates cost \$175. Every 2 weeks that she skates, she spends \$4.50 on sharpening the blades. One year, she spent a total of \$256 on the cost of skates and ...
The width of a rectangle
The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square ...