Ques:- Why are not you earning more money at this stage of your career?
Ques:- A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Recent Answer : Added by shashank chourasiya On 2022-03-09 16:42:05:
Hint: Assume that the speed of the stream is x and the speed of the boat in still water is x. From the statement of the question form two equations in two variables x and y. This system is reducible to linear equations in two variables. Reduce the system to a system of linear equations in two variables by proper substitutions. Solve the system of equations using any one of the methods like Substitution method, elimination method, graphical method or using matrices. Hence find the value of x satisfying both the equation. The value of x will be the speed of the stream.
Complete step-by-step answer:
Let the speed of the stream be x, and the speed of the boat in still water be y.
We have the speed of the boat upstream = y-x.
Speed of the boat downstream = y+ x.
Now since it takes 14 hours to reach a place at a distance of 48 km and come back, we have the sum of the times taken to reach the place downstream and time taken to return back upstream is equal to 14.
Now, we know that time =Distance speed
Using, we get
Time taken to reach the place =48y+x and the time taken to return back =48y−x.
Hence, we have
48y+x+48y−x=14
Dividing both sides by 2, we get
24y+x+24y−x=7 —–(i)
Also, the time taken to cover 4km downstream is equal to the time taken to cover 3km upstream.
Hence, we have 4y+x=3y−x
Transposing the term on RHS to LHS, we get
4y+x−3y−x=0 ——– (ii)
Put 1y+x=t and 1y−x=u, we have
24t+24u=7 ——-(iii)4t−3u=0 ——–(iv)
Multiplying equation (iv) by 6 and subtracting from equation (iii), we get
24t−24t+24u+18u=7⇒42u=7
Dividing both sides by 42, we get
u=742=16
Substituting the value of u in equation (iv), we get
4t−3(16)=0⇒4t−12=0
Adding 12 on both sides, we get
4t=12
Dividing both sides by 4, we get
t=18
Reverting to original variables, we have
1y+x=18 and 1y−x=16
Taking reciprocals on both sides in both equations, we have
y+ x=8 ——- (v)y−x=6 ——–(vi)
Adding equation (v) and equation (vi), we get
2y=14
Dividing both sides by 2, we get
y=7.
Substituting the value of y in equation (v), we get
7+x=8
Subtracting 7 from both sides we get
x = 8-7 =1
Hence the speed of the stream is 1 km/hr.
Ques:- Please explain your self
Ques:- How did you came to know about this job?
Ques:- What is the missing number in the series 2, 6, 12, 20, 30, ..?
A. 72
B. 42
C. 52
D. 62
E. 56
Recent Answer : Added by ANTONIS AJAY SOLOMON On 2022-10-11 16:07:08:
The answer is 42
Ques:- Describe HRMS to a seven-year-old.
Recent Answer : Added by Viswa Priya On 2021-10-09 17:29:41:
Pen can’t be sharpened by sharpener
Pencil is only sharpened by sharpner
Likewise rigth man can only fill the rigth position so we have to select it. This is human resource recruiting.
In school teachers manage and motivate you to do your work.
The same is done to employees this is hrms
Ques:- Which of the following numbers is exactly divisible by 24?
A. 35718
B. 63810
C. 537804
D. 3125736
Recent Answer : Added by Random On 2022-08-14 16:28:26:
D
Ques:- Why has call centers come to india,why dont they be in foreign cuntries?
Ques:- Meeta is two years older than Sunita. After six years the sum of their ages will be seven times their present age. Find out the age of Meeta
A. 6 years
B. 8 years
C. 10 years
D. Data inadequate
Recent Answer : Added by Ravi On 2022-09-15 16:36:09:
Data inadequate
Ques:- Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Ques:- Any Recent Movie you Saw Tell Me Story in Short ?
Ques:- About your current job profile?
Ques:- Which type engg. do u have
Ques:- What was the toughest challenge you?ve ever faced?
Ques:- Three birds cross a point in a same st. line and of that 2 fly in opposite directions. If a triangle is formed with the position of the birds what kind of the triangle will be formed? a)isosceles b)right angle c)equilateral d)right angle and isosceles.
Recent Answer : Added by Admin On 2020-05-17 12:02:22:
ans is a
Ques:- What is the main role of HR in an organization?
Ques:- Why do you think you will be suitable for this job?
Ques:- A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs.175, how much must C pay as his share of rent?
A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60
Recent Answer : Added by MANOJ M On 2021-10-07 15:40:52:
45
Ques:- Which film of Aamir khan has gone for oscar?
Ques:- Where u want to be in next 5 years
Ques:- Give me an instance of when you finished very critical task
Ques:- Time management means planning
Ques:- What is the normal shrinkage percentage of Khadi afterfirst wash?
A. 10
B. 7
C. 8
D. 5
E. 9
Recent Answer : Added by Indranil Nitin Apte On 2021-08-08 09:30:36:
b
Ques:- P and Q started a business investing Rs.85,000 and Rs.15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
A. 3 : 4
B. 3 : 5
C. 15 : 23
D. 17 : 3
Recent Answer : Added by Admin On 2022-09-25 04:11:46:
D. 17 : 3
Ques:- A train travelling at a speed of 90 km/hr, crosses a pole in 10 seconds. The length of the train is
A. 100 m
B. 150 m
C. 250 m
D. 900 m
Recent Answer : Added by vineet kumar On 2022-08-14 16:44:48:
Train speed 90 km /h
1st we have to change in m/s. then 90*5/18=25m/s
Then d=speed*time
=25*10=250m train length
Ques:- What number comes next in the sequence: 10, 9, 60, 90, 70, 66?
Recent Answer : Added by DK BOSS On 2021-07-16 09:53:06:
This is a sequence of English letters, in numbers.
⇒ ten = 3 letters
⇒ nine = 4 letters
⇒ sixty = 5 letters
⇒ ninety = 6 letters
⇒ seventy = 7 letters
⇒ Sixty six =8 letters
⭕️This logical question goes with the no. of letters in the number!!!!!!!
⭕️∴ the biggest number with 9 letters will be ninety-six (96).
Ques:- In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Recent Answer : Added by H Chris Sparks On 2022-04-02 06:57:47:
1.5 hrs
Ques:- How are you helpful to us?
Ques:- If the numbers from 1 to 24, which are divisible by 2 are arranged in descending order, which number will be at the 8th place from the bottom?
A. 18
B. 16
C. 12
D. 10
Recent Answer : Added by Ferro On 2022-11-18 16:02:49:
1 through 24, divisible by 2 in descending order.
That leaves you with:
24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2
8th place FROM the bottom means your answer will be 16.
Ques:- Some cats got together to decide killing the 999919 mice, each cat kills equal no. of mice and each cat kills more no. of mice than cats there were. Then what are the number of cats?
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Hint: Assume that the speed of the stream is x and the speed of the boat in still water is x. From the statement of the question form two equations in two variables x and y. This system is reducible to linear equations in two variables. Reduce the system to a system of linear equations in two variables by proper substitutions. Solve the system of equations using any one of the methods like Substitution method, elimination method, graphical method or using matrices. Hence find the value of x satisfying both the equation. The value of x will be the speed of the stream.
Complete step-by-step answer:
Let the speed of the stream be x, and the speed of the boat in still water be y.
We have the speed of the boat upstream = y-x.
Speed of the boat downstream = y+ x.
Now since it takes 14 hours to reach a place at a distance of 48 km and come back, we have the sum of the times taken to reach the place downstream and time taken to return back upstream is equal to 14.
Now, we know that time =Distance speed
Using, we get
Time taken to reach the place =48y+x and the time taken to return back =48y−x.
Hence, we have
48y+x+48y−x=14
Dividing both sides by 2, we get
24y+x+24y−x=7 —–(i)
Also, the time taken to cover 4km downstream is equal to the time taken to cover 3km upstream.
Hence, we have 4y+x=3y−x
Transposing the term on RHS to LHS, we get
4y+x−3y−x=0 ——– (ii)
Put 1y+x=t and 1y−x=u, we have
24t+24u=7 ——-(iii)4t−3u=0 ——–(iv)
Multiplying equation (iv) by 6 and subtracting from equation (iii), we get
24t−24t+24u+18u=7⇒42u=7
Dividing both sides by 42, we get
u=742=16
Substituting the value of u in equation (iv), we get
4t−3(16)=0⇒4t−12=0
Adding 12 on both sides, we get
4t=12
Dividing both sides by 4, we get
t=18
Reverting to original variables, we have
1y+x=18 and 1y−x=16
Taking reciprocals on both sides in both equations, we have
y+ x=8 ——- (v)y−x=6 ——–(vi)
Adding equation (v) and equation (vi), we get
2y=14
Dividing both sides by 2, we get
y=7.
Substituting the value of y in equation (v), we get
7+x=8
Subtracting 7 from both sides we get
x = 8-7 =1
Hence the speed of the stream is 1 km/hr.