Karim takes 2 days longer than Rahim to produce x units of products. At these rates, Karim & Rahim together take 2 days to produce \(5/6^{th}\) of x units. How many days would Karim take to produce 3x units of this product?
A. 4 days
B. 6 days
C. 12 days
D. 18 days
Explanation: Let, Rahim takes y days to produce x units. So, in 1 day Rahim produces \(x/y\) units. So, Karim takes \(y+2\) days to produce x units. So, in 1 day Karim produces \(x/(y+2)\) units. Together, in 1 day they produce \((x/y) + \{x/(y+2)\}\) units. So, in 2 days they produce \(2[(x/y) + \{x/(y+2)]\) units = \(x(4y+4)/y(y+2)\) units. According to question, \(\frac{x(4y+4)}{y(y+2)} = \frac{5x}{6}\). \(\Rightarrow 24y + 24 = 5y^2 + 10y \Rightarrow 5y^2 - 14y - 24 = 0\). \(\Rightarrow (5y+6)(y-4)=0\). So \(y=4\) or \(y=-6/5\). Since y can't be negative, so \(y=4\). So, Karim takes \(y+2 = 4+2 = 6\) days to produce x units. So, to produce 3x units, Karim need \(3\times6 = 18\) days.
Related Questions (Any University/Year)
- If the product of (1+2), (2+3) and (3+4) is equal to one half the sum of 20 and x , then x=?
- The total price for a watch and a chain is Tk. 500. if the price of the watch increases by 10% and that of the chain by 5%, the total price becomes Tk 545. What is the price of the chain?
- A sum of BDT 200 will be divided among 5 swimmers, named Emran, Durjoy, Chopol, Billal and Anabi, who have just finished a swimming competition. Everyone will receive at least BDT 5 and no two swimmers will receive the same amount of money. Emran has come \(1^{st}\) and will get BDT 80; Durjoy has come \(2^{nd}\), Chopol is \(3^{rd}\), Billal is \(4^{th}\) and Anabi is last. Moreover, the distribution of money is subject to the following conditions: • No one will get any fractional amount of money. • The swimmer who finishes earlier must receive more money than the swimmer(s) he defeats.. What are the greatest and least amount of money, consecutively, that Chopol can receive?
- A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor the remainder is 11. What is the value of the divisor?
- A bus is travelling with 60 passengers. When it arrives at a stop, x number of passengers get off and 8 get on. At the next stop, on third of the passengers on board get off and 5 get on. There are now 37 passengers on the bus. Find x.
- A CD player and a DVD player have the same price. If the price of the CD player goes up by 10% and that of the DVD player is decreased by 5%, how much more will it cost to buy 5 CD players and 5 DVD players?
- কয়েকজন বন্ধু পিকনিকে যাওয়ার সিদ্ধান্ত নিয়েছিল এবং খাওয়ার জন্য ৯৬০ টাকা খরচ করার পরিকল্পনা করেছিল। তাদের মধ্যে চারজন না যাওয়াতে। বাকিদের প্রত্যেককে অতিরিক্ত ৪০ টাকা করে চাঁদা দিতে হয়েছে। পিকনিকে যারা অংশ নিয়েছিল তাদের সংখ্যা ছিল-
- P is a set of 5 consecutive integers whose average is 4. Q is a set of 7 consecutive integers whose average is 7. How many numbers of set Q are also members of set P?
- In the first 10 overs of a cricket game,the run rate was only 3.2.what should be the run rate in the reamaining 40 overs to reach the target of 282 runs?
- If y% of x is 29. Then x =?
- Three sixteenths of a pole measures 54 inches in length. Then what is the length of the pole in feet?
- If \(4x-3y=24\), then what is the value of \(2y - 8(x/3)\)?
- . If the volume of a cube is x cubic feet and the total surface area of the cube is x square feet, then what is the total length, in feet, of all the cube's edges?
- The price of sugar increases by 32%. A family reduces its consumption so that expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month is approximately-
- ৮৮০ এর তিন চতুর্থাংশের এক দশামাংসের অর্ধেক কত?
- ধর, x এবং y দুটি ধনাত্মক সংখ্যা। যদি xy = ১ এবং x/y = ১ হয়, তাহলে x + y এর মান কত?
- একটি দ্রব্য ৩৮০ টাকায় বিক্রয় করায় ২০ টাকা ক্ষতি হলো। ক্ষতির শতকরা হার কত?
- The ratio of labor cost and materials cost for making a radio is 2:7. If the cost price is 90% of the selling price which is Tk. X, what is the labor cost per radio?
- In the following figure, what is the area of square QRST?
- What is the simplified result of following the steps below in order?(1) add 5y to 2x (2)multiply the sum by 3 (3)subtract X + Y from the product
- A seller of pen was asking for such price that would enable him to offer 10% discount and sill make a profit of 20% on cost if the cost of pen was TK. 30, what was his asking price?
- Seven (7) is 5% of which number?
- Y is four times as old as X. After 6 years, the sum of half of X's age and a fourth of Y's age will be the same as three times the present age of X. How old will X be after 6 years?
- If y% of x is 29.Then x=?
- The length ofa rectangle is 4 times its width. The rectangle is covered with 216 pieces of blocks each having an area of 1.5 sq. com. What is the length of the rectangle?
- A shoe seller sold one pair of shoes for 20 taka. The buyer did not have change and gave the seller a 100 taka note. The seller took taka 100 change since he had none in his cash box from a neighbor businessman and returned the buyer required change plus the shoe he bought. Moments later after the client had left the seller found that he was given a fake note. What was the amount of loss for the seller?
- If \(x/z\) is more than \(y/z\), then \(y = ?\)
- Written as a percent 5 = ?
- The minimum time Mr. and Mrs. Ahmed require to reach the market from their house by walking is 25 minutes and 20 minutes prospectively. If Mr. and Mrs . Ahmed decided to go to the market together by walking, what is the minimum time they will require to reach the market?
- ১০টি বানর ১ মিনিটে ১০টি কলা খেতে পারে। ৫০টি বানরের ৫০টি কলা খেতে কত সময় লাগবে?
- A salesman makes a 20 percent commission on the selling price of each set of encyclopedias he sells. If he sells 12 identical sets of encyclopedias and makes $1,800 in commissions, what is the selling price of each set?
- The sum of the squares of the two consecutive integers is 145. The sum of the positive integers is:
- If x # 0, then (x+7)/7x-1/x=?
- A certain radio costs a shopkeeper Tk. 64, At what price must he sell it if he is to make a profit of 20% on the selling price?
- স্রোতের প্রতিকূলে যেতে যে সময় লাগে , অনুকূলে যেতে তার অর্ধেক সময় লাগে । যাতায়াতে যদি ১২ ঘন্টা সময় লাগে, তাহলে স্রোতের অনুকূলে যেতে কত ঘন্টা সময় লাগে?
- There are 40 socks in a drawer. 70% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two red socks have been chosen?
- Samantha went shopping and bought one red bag and 15 black bags. The cost of the red bag was 3 times the average cost of a black bag. If she had spent a total of Taka x for the bags, what was the cost of the red bag (in terms of x)
- How many flowers are there if all of them are roses except two , all of them are tulips except two and all of them are daisies except two?
- Rokon, Saim and Nafisa had ate at MCafe. Nafisa's meal cost 50% more than Saim's meal and Rokon's meal cost 5 / 6th as much as Nafisa's meal. if Saim paid Tk1000 for his meal ,what was their total lunch bill?
- What is the value of the quotient (6 x 10⁵)/(2 × 10⁻²)?
