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The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr, and the train travels at a speed which is 16 km/hr faster than the car. Calculate : (i) The time taken by the car, to reach town B from A, in terms of x ; (ii) The time taken by the train, to reach town B from A, in terms of x ; (iii) If the train takes 2 hours less than the car, to reach town B, obtain an equation in x and solve it. (iv) Hence find the speed of the train.

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This question has been taken from Book:- ML aggarwal, Avichal publication, class10th, quadratic equation in one variable, chapter 5, exercise 5.5
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The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr, and the train travels at a speed which is 16 km/hr faster than the car. Calculate :

(i) The time taken by the car, to reach town B from A, in terms of x

; (ii) The time taken by the train, to reach town B from A, in terms of x

; (iii) If the train takes 2 hours less than the car, to reach town B, obtain an equation in x and solve it.

(iv) Hence find the speed of the train.
Question no.29 , ML Aggarwal, chapter 5, exercise 5.5, quadratic equation in one variable, ICSE board,

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1 Answer

  1. Solution:
    The distance by road between A and B = 216 km
    and the distance by rail = 208 km
    speed of car = x km/hr
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Quadratic Equations in One Variable Ex 5.5 Q29.1
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Quadratic Equations in One Variable Ex 5.5 Q29.2

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