Question

Place A and B are 100 km apart on a highway .one cat starts from A and another from b at the same time .If the cars travel in the same direction at different speeds , they meet in 5 hours .if they travel towards each other , they meet in one hour .what are the speeds of the two cars

Answer 1

Answer :

Speed of the car at A = 60 kmph

Speed of the car at B = 40 kmph

Explanation:

A<----------------100km---------------->B

Let the speed of the car at A be x kmph

and the speed of the car at B be y kmph

As per the question,

5x - 5y = 100

 x - y = 20 ... (1)

and x + y = 100 ... (2)

Solving (1) and (2), we get,

x = 60 and y = 40

Speed of the car at A = 60 kmph

Speed of the car at B = 40 kmph

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Answer 2

SOLUTION

Given =》

A and B car 100km apart on a highway.

And meet in 5 hour

To find=》

Speed of Two Cars

Explanation =》

Let the speed of A car be x km/ h

and speed of car B be ykm/h

According to question

Casel

5x-5y=100

= 5(x-y)=100

= x-y= 20....................(1)

Case II

x+y=100...........................(2)

Adding eq 1 and 2

x - y = 20

x + y = 100

——————

2x = 120

x= 120/2

x= 60

Putting x=60 in eq 1

x-y= 20

60-y=20

-y=20-60

-y= -40

y= 40

So , speed of Car A is 60km/h

Speed of Car B is 40km/h