## 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 dire

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

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1 month 2021-08-18T05:47:08+00:00 2 Answers 0 views 0

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

2. ## SOLUTION

### Given =》

A and B car 100km apart on a highway.

And meet in 5 hour

### Tofind=》

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)

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