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Syeda answered 1 year(s) , 7 month(s) ago

Two water tap together can fill a tank in 75/8 hours. The tap of larger daimeter takes 10 hours less than the smaller one to fill the tank saparately. Find the time in which each tap can saparately fi

Sol :
Let the tap of the larger diameter fills the tank alone in ( x – 10) hours.
 
In 1 hour, the tap of the  smaller diameter can fill 1/ x part of the tank....

Asked by Aman

Jun 21

  • 2 Answers
  • 8 Likes
  • 59304 Views
Syeda answered 1 year(s) , 8 month(s) ago

Solve 9x2-9(a+b)x+(2a2+5ab+2b2)=0 by factorisation

Answer.


    Consider, 9x 2-9(a+b)x+(2a 2+5ab+2b 2)=0
9x 2 - 9(a + b)x + (2a 2 + 4ab + ab + 2b 2) = 0
9x...

Asked by Abhishek

Feb 7

  • 2 Answers
  • 2 Likes
  • 39420 Views
Agam answered 1 year(s) , 6 month(s) ago

A train travels a distance of 480 km at a uniform speed.

Distance travelled by the train = 480 km
Let the speed of the train be x kmph
Time taken for the journey = 480/x
Given speed is decreased by 8 kmph
Hence the new speed of train =...

Asked by Shail

Dec 30

  • 2 Answers
  • 9 Likes
  • 35794 Views
Syeda answered 1 year(s) , 8 month(s) ago

How to split the middle term which has a large number

Answer.


    Consider, 7x 2 – 98x + 336 = 0
First find the product of 7x 2 and 336, we get 2352x 2
Now notice that we have a negative sign i...

  • 2 Answers
  • 2 Likes
  • 32393 Views
Syeda answered 1 year(s) , 7 month(s) ago

a peacock is sitting on a top of the pillar which is 9 metre hig


Let the distance covered by the peacock be AC = x m
Hence the distance covered by the snake is DC = x m
In right ΔABC, by Pythagoras theorem we have
AC 2 = AB 2<...

Asked by Nada

Oct 31

  • 2 Answers
  • 2 Likes
  • 29003 Views
Syeda answered 1 year(s) , 7 month(s) ago

One fourth of a herd of camels was seen in a forest

Answer.


Let the no. of camels be x.
No. of camels seen in the forest
No. of camels gone to mountains =
No of camels on the bank of river=15

 ...

  • 2 Answers
  • 1 Like
  • 24588 Views
Agam answered 1 year(s) , 6 month(s) ago

An express train takes 1 hour less than a passenger train

Let the speed of passenger train be x km/hr
Hence speed of express train = (x +11) km/hr
Distance travelled by both the trains = 132 km
Time taken = (Distance)/(Speed)
Time taken...

Asked by Gajaanan

Nov 3

  • 2 Answers
  • 2 Likes
  • 22740 Views
Syeda answered 1 year(s) , 8 month(s) ago

a/ax-1 + b/bx-1 = a+b

Given question is not clear please send us the exact question so that we can provide the solution at the earliest.

Asked by Nidhi

Mar 2

  • 3 Answers
  • 3 Likes
  • 21648 Views
Lavanya answered 4 year(s) , 11 month(s) ago

A two digit number is such that the products of its digits is 14

Answer is 27
2 X 7 = 14
27 + 45 = 72
So , the answer is 27

Asked by Abhiram

Feb 27

  • 5 Answers
  • 0 Like
  • 20371 Views
Syeda answered 1 year(s) , 7 month(s) ago

A person on tour has Rs 360 for his expenses.

Amount with the person = Rs 360
Let the original number of duration of the tour be x days
Daily expenses per day = Rs 360/x
Given that his tour is extended for 4 days
Hence daily...

Asked by karan

Nov 1

  • 2 Answers
  • 0 Like
  • 20162 Views
Kishore answered 5 year(s) , 1 month(s) ago

At t minutes past 2 p.m. , the time needed by the minutes hands

Given time needed by the minutes hand show (t 2/4) – 3
Hence the quadratic equation becomes, (t 2/4) – 3 = 60 – t
(t 2 – 12)/4 = 60 – t
(t 2...

  • 1 Answer
  • 0 Like
  • 20061 Views
Raghunath answered 3 year(s) , 11 month(s) ago

what is the original average speed ?

Given that  distance = 63 km.

Let original speed of train = x km/hr.

time = distance / time =  63/x hrs.


And it travels a distance of 72 kkm at a ave

...

Asked by Mayank

Feb 12

  • 1 Answer
  • 2 Likes
  • 19640 Views
Kishore answered 5 year(s) , 3 month(s) ago

Find the value of k for the following quadratic equation

Given 2x 2 + kx + 3 = 0 has equal roots 
Hence b 2 – 4ac = 0
That is (k) 2 – 4(2)(3) = 0
k 2 – 24 = 0
k 2  = 24...

  • 1 Answer
  • 0 Like
  • 16691 Views
Ramesh answered 3 year(s) , 11 month(s) ago

The sum of two numbers is 15. If the sum of their reciprocals is 3/10, find the two numbers.

Sol:
Let one of the numbers be x.
Other number is (15 - x)
Sum of their reciprocals = 3/10
1/x + 1/(15 - x) = 3/10
(15 ) / (15x - x 2) = 3/10
150 = 45...

Asked by Mahathi

Mar 4

  • 1 Answer
  • 4 Likes
  • 16510 Views
Kishore answered 5 year(s) , 3 month(s) ago

Find the value of k for the following quadratic equation

Given kx(x – 2) + 6 = 0
kx 2 – 2kx + 6 = 0
Since the given quadratic equation has equal roots  we have b 2 – 4ac = 0
That is (– 2k) 2 – 4(k)(6) = 0 <...

  • 1 Answer
  • 4 Likes
  • 16321 Views
Syeda answered 1 year(s) , 7 month(s) ago

The difference of the squares of two natural numbers is 45.

Let the smaller natural number be x and larger natural number be y

Hence x2 = 4y → (1)

Given y2 – x2 = 45

⇒ y2 – 4y = 45

⇒ y2

...

Asked by Waleed

Oct 29

  • 2 Answers
  • 3 Likes
  • 15857 Views
Ramesh answered 3 year(s) , 10 month(s) ago

Prove that c2 = a2 (1 + m2).

(1 + m 2 )x 2  + 2 mcx + c 2  - a 2  = 0 has equal roots

⇒ b 2 - 4ac = 0

⇒ (2 mc) 2 - 4(1 + m 2)(c...

Asked by Sabu

Mar 17

  • 2 Answers
  • 0 Like
  • 15471 Views
Agam answered 1 year(s) , 5 month(s) ago

The sum of the squares of two consecutive odd numbers is 394. Find the numbers.

Let the two consecutive odd numbers be x and x+2.
ATQ,

X 2 + (X+2) 2 = 394
X 2 + X 2 + 4X + 2 2 = 394
2X 2 +...

Asked by Sabu

Mar 16

  • 2 Answers
  • 1 Like
  • 15046 Views
Agam answered 1 year(s) , 6 month(s) ago

Find the value of k for which kx2 + 2x - 1 = 0 has two equal roots

Given�kx 2 �+ 2x - 1 = 0 has equal roots�
Hence is b 2 �– 4ac = 0
That is 2 2 �– 4(k)( –1) = 0
4 + 4k = 0
∴ k = –1

  • 2 Answers
  • 1 Like
  • 13840 Views
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