Two small planes start from the same airport and fly in opposite directions.
The first plane flies at a rate of 130 mph and the second plane flies at 100 mph.
In how many hours will they be 443 miles apart?
a) Let h= the time the planes spend traveling. Write the equation you would use to find this time.
b) In __ hours, the planes will be 443 miles apart. (Round to one decimal place.)
c) 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: 130h + 100h = 443
b) In 2.6 hours, the planes will be 443 miles apart. (Rounded to one decimal place)
c) Converting 2.6 hours to hours and minutes:
2 hours and 36 minutes
a) To find the time it takes for the planes to be 443 miles apart, we can use the formula:
Distance = Rate × Time
Let's assume the time the planes spend traveling is h.
For the first plane, the distance it covers is 130 mph × h, and for the second plane, the distance it covers is 100 mph × h. Since they are flying in opposite directions, the total distance between them is the sum of the distances covered by each plane:
130 mph × h + 100 mph × h = 443 miles
b) Now, let's solve the equation for h to find the time it takes:
130h + 100h = 443
230h = 443
h = 443 / 230
h ≈ 1.9261 hours
Rounding to one decimal place, in approximately 1.9 hours, the planes will be 443 miles apart.
c) To convert 1.9 hours to hours and minutes, we can multiply the decimal part by 60 to convert it to minutes:
0.9 × 60 = 54 minutes
Therefore, the planes will be 1 hour and 54 minutes apart.