Q. Two cars are moving in the opposite direction with the same speed of 30km/h. They are separated by 5km. After what time they will meet?

To determine when the two cars will meet, we can break down the problem step by step. Since both cars are moving towards each other, we can combine their speeds to find the rate at which the distance between them decreases.

Understanding the Situation

We have two cars, each traveling at a speed of 30 km/h. Since they are moving in opposite directions, we can add their speeds together:

• Speed of Car A = 30 km/h
• Speed of Car B = 30 km/h
• Total speed = 30 km/h + 30 km/h = 60 km/h

Calculating the Time to Meet

Next, we need to find out how long it will take for them to cover the distance that separates them, which is 5 km. We can use the formula:

Time = Distance / Speed

Substituting the values we have:

Time = 5 km / 60 km/h

Now, let's do the calculation:

Time = 5/60 hours = 1/12 hours

Converting Time into Minutes

To make this more understandable, we can convert hours into minutes. Since there are 60 minutes in an hour, we multiply:

Time in minutes = (1/12) * 60 = 5 minutes

Final Answer

Thus, the two cars will meet after 5 minutes of traveling towards each other. This example illustrates how relative speed plays a crucial role in determining the time it takes for two objects moving towards each other to meet.