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Sagot :
Given:
Distance covered by the plane, d = 700 miles
Time, t = 1 hour and 43 minutes.
Let's find the speed of the plane.
To find the speed, apply the formula:
[tex]\text{Speed = }\frac{dis\tan ce}{time}[/tex]Where:
distance = 700 miles
time = 1 hour 43 minutes
(A) speed in mph.
mph is miles per hour.
Where:
60 minutes = 1 hour
Thus, to find the speed the time is to be in hours.
We have:
[tex]t=1\frac{43\text{ minutes}}{60\text{ minutes}}=1\frac{43}{60}=1.716666\text{ hrs}\approx1.72\text{ hrs}[/tex]Thus, to find the speed in mph, we have:
[tex]\text{Speed}=\frac{\text{distance}}{\text{time}}=\frac{700}{1.72}=407.8\text{ mph}[/tex]Therefore, the speed of the plane in mph is 407.8 mph
(B) To find the speed in ft/second
Let's first convert the distance from miles to feet
Where:
1 mile = 5280 feet
700 miles = 700 x 5280 = 3696000 feet
Also convert the time to seconds.
Where:
1 hour = 60 minutes x 60 seconds = 3600 seconds
1.7166 hours = 1.7166 x 3600 = 6180 seconds
Thus, we have:
Distance = 3696000 feet
Time = 6180 seconds
[tex]\text{Speed = }\frac{dis\tan ce}{\text{time}}=\frac{3696000}{6180}=598.06\text{ ft/second}[/tex]Therefore, the speed in ft/second is 598.06 ft/second
ANSWER:
(A) 407.8 mph
(B) 598.06 ft/second
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