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A plane flew at a constant speed and traveled 762 miles in 5 hours.
How many miles would the plane travel in 3 hours at the same speed?
miles

A plane flew at a constant speed and traveled 762762 miles in 55 hours.\newlineHow many miles would the plane travel in 33 hours at the same speed?\newlinemiles

Full solution

Q. A plane flew at a constant speed and traveled 762762 miles in 55 hours.\newlineHow many miles would the plane travel in 33 hours at the same speed?\newlinemiles
  1. Calculate Speed: To find out how many miles the plane would travel in 33 hours at the same speed, we first need to determine the speed of the plane in miles per hour. We do this by dividing the total distance traveled by the total time taken.\newlineSpeed=Total DistanceTotal Time\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\newlineSpeed=762 miles5 hours\text{Speed} = \frac{762 \text{ miles}}{5 \text{ hours}}
  2. Find Speed: Now, let's perform the division to find the speed.\newlineSpeed = 762/5762 / 5\newlineSpeed = 152.4152.4 miles per hour
  3. Calculate Distance: With the speed known, we can now calculate how far the plane would travel in 33 hours at this constant speed.\newlineDistance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}\newlineDistance=152.4 miles/hour×3 hours\text{Distance} = 152.4 \text{ miles/hour} \times 3 \text{ hours}
  4. Find Distance: Let's perform the multiplication to find the distance.\newlineDistance = 152.4×3152.4 \times 3\newlineDistance = 457.2457.2 miles