Fauzia took 30min to cycle from her house to the cinema. If she cycled the first 3km of the journey at a speed of 150m/min, find her average speed for the remaining 3km of the journey

first part -- 3 km = 3000 m

time for 1st part = 3000/(150) = 20 minutes

second part --- 3 km
time for second part = 30-20 = 10 minutes
speed for 2nd part = 3000/10 = 300 m/min

Her speed for the second leg of the trip was 300 m/min

1km = 1000m

She covered the first 3000 meters in 3000/150 = 20 minutes.

Since she covered the remaining 3000 meters in 30-20=10 minutes, she must have cycled at 300m/min on average through this stage.

Average speed is distance divided by time.

To find Fauzia's average speed for the remaining 3km of the journey, we need to determine the time she took for that part of the journey.

We know that Fauzia took 30 minutes for the entire journey, and she cycled the first 3km at a speed of 150m/min.

To find the time taken for the first part of the journey, we can use the formula:

time = distance / speed

So, for the first 3km, the time taken is:

time = 3km / 150m/min

To convert the distance from km to meters, we need to multiply it by 1000:

time = (3km * 1000) / 150m/min

Simplifying, we get:

time = 2000 / 150 min

time ≈ 13.33 min

Therefore, Fauzia took approximately 13.33 minutes for the first part of the journey.

Since the total time for the journey is 30 minutes, we can subtract the time taken for the first part from the total time to find the time taken for the remaining 3km:

time taken for remaining 3km = total time - time taken for first part

time taken for remaining 3km = 30 min - 13.33 min

time taken for remaining 3km ≈ 16.67 min

Finally, to find the average speed for the remaining 3km, we use the formula:

speed = distance / time

speed = 3km / 16.67 min

To convert the distance from km to meters, we multiply it by 1000:

speed = (3km * 1000) / 16.67 min

Simplifying, we get:

speed ≈ 180.036 m/min

Therefore, Fauzia's average speed for the remaining 3km of the journey is approximately 180.036 m/min.