Calculate Distance: Bird Flying at 250 km/h for 7 Hours 40 Minutes

Question

A bird flies at a speed of 250 km/h for 7 hours and 40 minutes.

What distance does it cover?

Video Solution

Step-by-Step Solution

To solve this problem, we will use the formula for distance, which is given by:

Distance=Speed×Time \text{Distance} = \text{Speed} \times \text{Time}

Step 1: Convert the time from hours and minutes to hours only.

The bird flies for 7 hours and 40 minutes. To convert 40 minutes to hours, we use the conversion:

40 minutes=4060=230.67 hours 40 \text{ minutes} = \frac{40}{60} = \frac{2}{3} \approx 0.67 \text{ hours}

Therefore, the total time in hours is:

7 hours+0.67 hours=7.67 hours 7 \text{ hours} + 0.67 \text{ hours} = 7.67 \text{ hours}

Step 2: Substitute the given speed and the converted time into the distance formula.

Distance=250 km/h×7.67 hours \text{Distance} = 250 \text{ km/h} \times 7.67 \text{ hours}

Distance=1916.75 km \text{Distance} = 1916.75 \text{ km}

Therefore, the bird covers a distance of approximately 1916.67 1916.67 km.

Upon comparison with the given answer choices, the correct choice is:

1916.67 1916.67 km

Answer

1916.67 1916.67 km