Two small planes start from the same airport and fly in opposite directions.
The first plane flies at a rate of 100 mph and the second plane flies at 130 mph.
In how many hours will they be 444 miles apart?
a) Let h= the time the planes spend traveling. Write the equation you would use to find this time.
In hours, the planes will be 444 miles apart. (Round to one decimal place.)
Convert your time from b) to hours to hours and minutes: hours and minutes
a) The equation we would use to find the time is: Rate x Time = Distance
For the first plane, the distance it travels is 100 mph x h hours = 100h miles.
For the second plane, the distance it travels is 130 mph x h hours = 130h miles.
Since they are flying in opposite directions, the total distance between them is the sum of their distances: 100h + 130h = 230h.
We want this total distance to be 444 miles, so we can set up the equation: 230h = 444.
b) To find the time in hours, we can solve the equation: h = 444/230 = 1.93 hours.
To convert this time to hours and minutes, we can convert the decimal part to minutes.
Since there are 60 minutes in an hour, 0.93 hours = 0.93 x 60 = 56 minutes.
Therefore, the time in hours and minutes is approximately 1 hour and 56 minutes.