Question

places A and B are 100 km apart on a Highway. one car 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 1 hour. what are the speed of the two cars?​

Answer 1

Answer:

Car A = 60m/s

Car B = 40m/s

Step-by-step explanation:

Let's split the problem into two

1st case

Let the Car A have a speed of 'v' m/s and Car B have a speed of 'u' m/s

Time taken to meet is 5 hrs

Now let them meet at C

so from B to C let the distance be 'x' km

So, distance travelled by car A = 100 + x

Distance travelled by car B = x

we know that, Distance = speed × time

so For A, 100 + x = v × 5

100 + x = 5v-----1

and for B, x = u × 5

x = 5u-----2

Subtracting 1 and 2 we get

5v - 5u = 100 + x - x

5(v - u) = 100

v - u = 20-------3

2nd Case

Let the Car A have a speed of 'v' m/s and Car B have a speed of 'u' m/s

Time taken to meet is 1 hr

Now let them meet at C

so from A to C let the distance be 'x' km

So, distance travelled by car A = x

Distance travelled by car B = 100 - x

we know that, Distance = speed × time

so For A, x = v × 1

x = v-----4

and for B, 100 - x = u × 1

100 - x = u-----5

Adding 4 and 5 we get,

v + u = 100-------6

Now from eq.3 and eq.6,

v - u = 20

v + u = 100

adding both we get

2v = 120

v = 60m/s

so, u = 40m/s

Hence, Car A was moving with a speed of 60m/s and Car B was moving with a speed of 40m/s

Hope you understood it........All the best

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.