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Use app Login Question A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train. Hard Open in App Solution Verified by Toppr Let the speed of the train be xkm/h and the time taken by train to travel the given distance be t hours and the distance to travel be dkm. We know that, ⇒Speed=TimeDistance ⇒x=td ∴d=xt.......(i) Case 1 ⇒(x+10)×(t−2)=d ⇒xt+10t−2x−20=d ⇒d+10t−2x−20=d ⇒−2x+10t=20...... (ii) Case 2 ⇒(x−10)×(t+3)=d ⇒xt−10t+3x−30=d ⇒d−10t+3x−30=d ⇒3x−10t=30......... (iii) Adding equations (ii) and (iii), we gets ⇒x=50 Substitute the value of x in (ii) we gets ⇒(−2)×(50)+10t=20 ⇒−100+10t=20 ⇒10t=120 ⇒t=12 hours Substitue the value of t and x in equation (i), we gets Distance to travel =d=xt ⇒d=12×50=600Km Hence, the distance covered by the train is 600km.

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Half the perimeter of a rectangular garden, whose length is 4m more than its width 36m . Find the dimensions of the garden

Posted by Piyush .Kumar 3 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Kalash Upadhyay 3 years, 3 months ago

3 ka squarring karna hai bas aur language likhni hai itna nhi aata

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𝕷𝖊𝖌𝖊𝖓𝖉 🏆 🍑 🎀 𝒜𝓁☯𝓃𝑒 𝑅𝒶𝓈𝒽𝒾 🎀 🍑 3 years, 3 months ago

Prove that √3 is irrational? Please give me your answer?

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𝕷𝖊𝖌𝖊𝖓𝖉 🏆 🍑 🎀 𝒜𝓁☯𝓃𝑒 𝑅𝒶𝓈𝒽𝒾 🎀 🍑 3 years, 3 months ago

The length(l) of the rectangle is 20m and the width(b) of the rectangle is 16m.

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x^2

Posted by Abhishek Bhadoriya 3 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

𝕷𝖊𝖌𝖊𝖓𝖉 🏆 🍑 🎀 𝒜𝓁☯𝓃𝑒 𝑅𝒶𝓈𝒽𝒾 🎀 🍑 3 years, 3 months ago

What?

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Exercise 6.2

Posted by Qamar Qamar 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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Find the zeros of the following quadratic polynomial and verify the relationship between the zeros and coefficients of the polynomial 2x^2-11x+14

Posted by Harsh Deshpande 3 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Chanchal Meena 3 years, 3 months ago

Zeros are 2,-7/2

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Prove that (+costheta)/(1-costheta) -(1-costheta)/(1+costheta) = 4cotthetacosectheta

Posted by Urvashi Sahu 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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Ex 3.4 qes 2

Posted by Avani Jaiswal 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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prove that: 1 + cos theta - sin2 theta whole divided by sine theta (1 + cos theta) = cot theta

Posted by Zoya Khanum 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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Ventricle tower stands on a horizontal plane and is surmounted by a flag staff of height 5 M from the point on the ground the angle of elevation of the top and bottom of the flag staff is 60 degree and 30 degree respectively find the height of the tower and the distance of the point from the tower

Posted by Sakshi Hiremath 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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What what value of m, the quadratic equation x^2 - 2mx + 9 =0, whicg has real and equal roots

Posted by Pragyan Sharma 3 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Soni Gupta 3 years, 3 months ago

M=3√2

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A two digit number is such that the product of its digit is 18 .When 63 is subtracted from the number , the digit interchange their places . Find the number

Posted by Aaditya Mishra 3 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Sadaf Khan 3 years, 3 months ago

×y=18-eq(i) 10×+y-63=10y+× On solving 9×-9y=63(-63 changed into +63 on shifting it towards right) On dividing the whole eqn by 9 ×-y=7-eq(ii) ×=7+y On putting the value of eq(ii) in eq(i) We get (7+y)y=18 Y2+7y-18 Y2+9x-2x-18 Y(y+9)-2(y+9) Y=-9 Or Y=2 ×y=18 2x=18( 2 is the value of y) ×=18÷2=9 Now you check your answer by putting both x and y value in any of the on one eqn Hope this will help you.....!

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Rahul Choudhary 3 years, 3 months ago

Superb

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Aftab tells his daughter 7 years ago I was 7 time is old as you where then also 3 years from now I shall we three times as old as you will be represent this situation algebraically and graphically

Posted by Parismita Sonowal 3 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Tanu Shri Saini 3 years, 3 months ago

3 years hence.now ,aftab age=x+3. x+3=3(y+3)... x+3=3y+9..... x-3y=6 x-3y-6=0

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Tanu Shri Saini 3 years, 3 months ago

Let the present age of aftab=x And the present age of his daughter =y. 7years ago x-7=7(y-7). x-7=7y-49 x-7y-7+49=0 x-7y+42=0

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Rahul Choudhary 3 years, 3 months ago

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3x+4y=10 2x-2y=2 Substituion method

Posted by Myshnavi Myshnavi 3 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Chanchal Meena 3 years, 3 months ago

= 2(3x+4y=10) = 3(2x-2y=2) = 6x+8y=20 = 6x-6y=6 = 14y=14 = Y=14/14=1 = Y=1

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Prianka Gandhi 3 years, 3 months ago

3x+4y+4x-4y=10+4 7x=14 x=2 3*2+4y=10 6+4y=10 4y=4 y=1

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29x-×+(35.5g

Posted by Rakesh Kumar 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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The numerator of a fraction is 3 less than denominator. If 1 is added to the denominator the fraction is decreased by 1/5. Find the fraction

Posted by Shivam Kumar 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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Prove 2/√3+1 is an irrational number

Posted by Dauhi Shadap 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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Prove that 2√3+1/5 is an irrational number

Posted by Dauhi Shadap 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hours less for the same journey. Find the speed of the train

Posted by Divyanshi Sharma 3 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Pragyan Sharma 3 years, 3 months ago

40 , 45

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Shehshah Siddiqui 3 years, 3 months ago

Answer

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Kaushik cube 30 degree Cos 60 tan cube 45 degree sin square 90 degree sec square 45 degree cot 30 degree

Posted by Divy Jyot Raghuvanshi 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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0.2x+0.3y=1.3

Posted by Legend Gaurav 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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Determine the points are collinear (1,5)(2,3)(-2,-11)

Posted by Ansh Bansal 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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Find the distance between the points (0,0)and (36,15).Can you find the distance between the two towns A and B

Posted by Ansh Bansal 3 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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3√5x^2+2x-√5

Posted by Saadia Alvi 3 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Piyush ❤️ 3 years, 3 months ago

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Ansh Bansal 3 years, 3 months ago

3√5x^2+2x-5 Square cut root Hence 45x+2x-√5 47x-√5 is the answer

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The ages of two friends Manjit and Ranjit differ by 3 years. Manjit's father Dharam is twice as old as Manjit and Ranjit as twice as old as his sister Jaspreet. The ages of Jaspreet and Dharam differ by 30 years. Find the ages of Manjit and Ranjit

Posted by Saiprasad Thengal 3 years, 3 months ago

CBSE > Class 10 > Mathematics

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Aftab tells his daughter, seven years ago I was seven times as old as you were then also three years from now I shall be three times as old as you will be (isn't this interesting?) Represent this situation algebraically and graphically

Posted by Jitender Singh 3 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Riya Chaudhary 3 years, 3 months ago

Assume the present age of Aftab be x years and his daughter be y years. Present age of Aftab = x years and his daughter = y years Therefore, 7 years ago, age of Aftab = (x - 7) years and his daughter = (y - 7) years Using this information and applying the known condition that 7 years ago, Aftab was 7 times as old as his daughter then: x - 7 = 7(y - 7) x - 7 = 7y - 49 x - 7y - 7 + 49 = 0 x - 7y + 42 = 0 After 3 years from now, age of Aftab = (x + 3) years and his daughter's age = (y + 3) years Also, Aftab will be 3 times as old as his daughter which can be represented as: x + 3 = 3 (y + 3) x + 3 = 3y + 9 x - 3y + 3 - 9 = 0 x - 3y - 6 = 0 Thus we have, x - 7y + 42 = 0 ----(1) x - 3y - 6 = 0 ----(2) Therefore, the algebraic representation is for equation (1) is: x - 7y + 42 = 0 -7y = - x - 42 7y = x + 42 y = (x + 42)/7 And, algebraic representation for equation (2) is: x - 3y - 6 = 0 - 3y = - x + 6 3y = x - 6 y = (x - 6)/3 Let us represent these equations graphically. For this, we need at least two solutions for each equation. Let's tabulate the solutions. For equation (1), x = 21 y = (x + 42)/7 = 9 For equation (2), x =30 y = (x - 6)/3= 8. By doing graphical representation we got The present age of aftab 52 years and his daughter is 12 years old

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Q 13 EX 4D

Posted by Netu Devi 3 years, 3 months ago

CBSE > Class 10 > Mathematics