Given:
- Distance traveled by car = 90 km
- Time taken = 2½ hours

To find:
(A) Time required to cover 30 km
(B) Distance covered in 2 hours

Solution:
(A) Time required to cover 30 km

To find the time required to cover 30 km, we can use the concept of speed. Speed is defined as the distance traveled per unit of time.

Speed = Distance/Time

We are given the speed of the car, which remains constant throughout the journey. So, we can use this speed to find the time required to cover 30 km.

Let's first find the speed of the car using the given information.

Speed = Distance/Time
Speed = 90 km/2½ hours

To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction.

Speed = 90 km/2½ hours
Speed = 90 km * 2/5 hours

Simplifying the above expression, we get:

Speed = 36 km/hour

Now, we can find the time required to cover 30 km using the speed.

Time = Distance/Speed
Time = 30 km/36 km/hour

To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction.

Time = 30 km/36 km/hour
Time = 30 km * 1/36 hour

Simplifying the above expression, we get:

Time = 5/6 hour
Time = 50 minutes

Therefore, it will take 50 minutes to cover 30 km with the same speed.

(B) Distance covered in 2 hours

To find the distance covered in 2 hours, we can again use the concept of speed. We know that the speed of the car remains constant throughout the journey.

Distance = Speed * Time
Distance = 36 km/hour * 2 hours

Simplifying the above expression, we get:

Distance = 72 km

Therefore, the car will cover a distance of 72 km in 2 hours with the same speed.

Summary:
- The time required to cover 30 km with the same speed is 50 minutes.
- The distance covered by the car in 2 hours with the same speed is 72 km.

Yes