If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actuval velocity the car reaches B 45min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and what is the distance between A and B in km

If a car starts from A towards B with some velocity due to
some problem in the engine after travelling 30km.If  the car
goes with 4/5 th of its actuval velocity the car reaches B
45min later to the actual time. If the car engine fails
ofter travelling 45km, the car reaches the destination B
36min late to the  actual time , what is the initial
velocity of car and what is the distance between A and B in km

Ques:- If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actuval velocity the car reaches B 45min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and what is the distance between A and B in km
3 9115

3 Answers on this Question

  1. let x is distance from A to B
    and y is initial speed.
    30/y+(x-30)5/4y -x/y = 3/4
    =>
    4x-12y=120 —-(1).
    45/y + (x-45)5/4y -x/y=3/5
    =>
    5x-12y=225 ——-(2).
    From equ (1) and equ (2) we will get.
    x=25 and y=105
    so initial speed is 25
    and Distance From A to B is 105
    Ans 25,105

  2. Ans. let x is distance from A to B
    and y is initial speed.
    30/y+(x-30)5/4y -x/y = 3/4
    => 4x-12y=120 —-(1).
    45/y + (x-45)5/4y -x/y=3/5
    => 5x-12y=225 ——-(2).
    From equ (1) and equ (2) we will get.
    x=25 and y=105
    so initial speed is 25 km/hr
    and Distance From A to B is 105 km

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