Question

a motor car drives at an average speed of 106km/h for 2 hours 45minutes.at which constant speed must the car drive to travel the same distance in 2hours and 35minutes?​

Answer 1

Explanation:

Let's start by calculating the distance traveled in the first scenario:

Distance = Average speed x time

First, we need to convert 2 hours and 45 minutes to hours. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours. Therefore, the total time is:

2 hours and 45 minutes = 2 + 0.75 = 2.75 hours

Now we can calculate the distance:

Distance = 106 km/h x 2.75 hours = 291.5 km

So the car travels 291.5 km in 2 hours and 45 minutes.

To find the constant speed the car must drive to travel the same distance in 2 hours and 35 minutes, we can use the same formula:

Distance = Speed x time

We know the distance is 291.5 km, and the time is 2 hours and 35 minutes. Again, we need to convert the minutes to hours:

2 hours and 35 minutes = 2 + 35/60 = 2.583 hours

Now we can solve for the speed:

Speed = Distance / time = 291.5 km / 2.583 hours ≈ 113 km/h

Therefore, the car must drive at a constant speed of approximately 113 km/h to travel the same distance in 2 hours and 35 minutes.