Respuesta :
(1500 mi / 7 da) · (1 da / 1440 min) · (1609.3 m / 1 mi) · (100 cm / 1 m)
= (1500 · 1 · 1609.3 · 100) / (7 · 1440 · 1 · 1) cm/min
= 23,948.6 cm/min
Answer:
Speed = 23809.52 cm/min
Step-by-step explanation:
Given : A car travels at constant speed for 7 days and covers 1500 miles.
To find : What is the speed in centimeters/minute
Solution : Formula to find speed is
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Distance traveled = 1500 miles and time taken = 7 days
[tex]\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}[/tex]
Now, we have to convert miles into centimeter and days into minutes.
1 day = 24 hours
1 hour= 60 minute
24 hr= 24×60 minute
1 day = 24×60 minute
7 days = 7×24×60 minute = 10,080 minute
Now, 1 mile = 8/5 km = 1.6 km
1 km= 100000 cm
1.6 km = 1.6 × 100000 cm
1 mile = 1.6 × 100000 cm
1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm
Put back the values into speed
[tex]\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}[/tex]
[tex]\text{Speed}=\frac{\text{240,000,000 cm}}{\text{10,080 minute}}[/tex]
[tex]\text{Speed}=\text{23809.523 cm/minute}[/tex]
Therefore, speed = 23809.52 cm/min