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Syeda answered 1 year(s) , 11 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....

Jun 21

• 8 Likes
• 64247 Views

Jun 21

Agam answered 1 year(s) , 10 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 =...

Dec 30

• 9 Likes
• 57968 Views

Dec 30

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

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...

Feb 7

• 2 Likes
• 52198 Views

Feb 7

Syeda answered 1 year(s) , 11 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<...

Oct 31

• 2 Likes
• 46454 Views

Oct 31

How to split the middle term which has a large number

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 in the middle term
Hence...

Oct 12

• 2 Likes
• 34901 Views

Oct 12

Syeda answered 1 year(s) , 11 month(s) ago

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

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

...

Dec 3

• 1 Like
• 29848 Views

Dec 3

Syeda answered 1 year(s) , 11 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...

Nov 1

• 0 Like
• 28204 Views

Nov 1

Agam answered 1 year(s) , 10 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...

Nov 3

• 2 Likes
• 26737 Views

Nov 3

Lavanya answered 5 year(s) , 3 month(s) ago

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

Let the ten’s digit be x and ones digit be y
Given (xy) = 14 … (1)
The number is (10x + y)
Given that when 45 is added to the number the digits gets interchanged.
Hence 10x + y +...

Feb 27

• 0 Like
• 24914 Views

Feb 27

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.

Mar 2

• 3 Likes
• 24871 Views

Mar 2

Kishore answered 5 year(s) , 5 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...

Nov 24

• 0 Like
• 22664 Views

Nov 24

Raghunath answered 4 year(s) , 3 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

...

Feb 12

• 2 Likes
• 21927 Views

Feb 12

Ramesh answered 4 year(s) , 3 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...

Mar 4

• 4 Likes
• 21512 Views

Mar 4

Kishore answered 5 year(s) , 7 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...

Nov 1

• 0 Like
• 20853 Views

Nov 1

Kishore answered 5 year(s) , 7 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 <...

Nov 1

• 4 Likes
• 18674 Views

Nov 1

Syeda answered 1 year(s) , 11 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

...

Oct 29

• 3 Likes
• 18530 Views

Oct 29

Ramesh answered 4 year(s) , 2 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...

Mar 17

• 0 Like
• 17968 Views

Mar 17

Raghunath answered 4 year(s) , 4 month(s) ago

Find the value of k if the roots of the quadratic equation are equal?

-4

Jan 15

• 2 Likes
• 17754 Views

Jan 15

Agam answered 1 year(s) , 9 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 +...

Mar 16

• 1 Like
• 17318 Views

Mar 16

Agam answered 1 year(s) , 10 month(s) ago

If sin q and cos q are roots of the equation ax2+bx+c=0.

Nov 24

• 0 Like
• 15545 Views

Nov 24

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