Question

A car travels at constant speed for 7 days and covers 1500 miles. What is the speed in centimeters/minute? You may use the (approximate) conversion factors on page 55 of the text (in particular that 1 mile is about 8/5 km), or you may relate everything to the conversion 1 inch = 2.54cm.

Answer 1

(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 2

Speed = 23809.52 cm/min

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

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

Distance traveled = 1500 miles and time taken = 7 days

`\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}`

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

`\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}`

`\text{Speed}=\frac{\text{240,000,000 cm}}{\text{10,080 minute}}`

`\text{Speed}=\text{23809.523 cm/minute}`

Therefore, speed = 23809.52 cm/min