Question

An object is moving at a speed of 4900 yards every 1.5 minutes. Express this speed in kilometers per hour. Round your answer to the nearest whole number.
*Note: you must use these exact conversion factors to get this question right.
Distance / length Time
1 foot left parenthesis, ft, right parenthesis(ft) = 12 inches left parenthesis, in, right parenthesis(in) 1 minute left parenthesis, min, right parenthesis(min) = 60 seconds left parenthesis, sec, right parenthesis(sec)
1 yard left parenthesis, yd, right parenthesis(yd) = 3 feet left parenthesis, ft, right parenthesis(ft) 1 hour left parenthesis, hr, right parenthesis(hr) = 60 minutes left parenthesis, min, right parenthesis(min)
1 mile left parenthesis, mi, right parenthesis(mi) = 5280 feet left parenthesis, ft, right parenthesis(ft) 1 day left parenthesis, day, right parenthesis(day) = 24 hours left parenthesis, hr, right parenthesis(hr)
1 meter left parenthesis, m, right parenthesis(m) = 100 centimeters left parenthesis, cm, right parenthesis(cm) 1 week left parenthesis, week, right parenthesis(week) = 7 days left parenthesis, days, right parenthesis(days)
1 kilometer left parenthesis, km, right parenthesis(km) = 1000 meters left parenthesis, m, right parenthesis(m) 1 month left parenthesis, month, right parenthesis(month) = 30 days left parenthesis, days, right parenthesis(days)
1 inch left parenthesis, in, right parenthesis(in) = 2.54 centimeters left parenthesis, cm, right parenthesis(cm) 1 year left parenthesis, year, right parenthesis(year) = 365 days left parenthesis, days, right parenthesis(days)
1 foot left parenthesis, ft, right parenthesis(ft) = 0.305 meters left parenthesis, m, right parenthesis(m)
1 mile left parenthesis, mi, right parenthesis(mi) = 1.609 kilometers left parenthesis, km, right parenthesis(km)

Answer 1

To convert the speed from 4900 yards per 1.5 minutes to kilometers per hour, we can follow these steps using the provided conversion factors.

### Step 1: Convert yards to kilometers

1 yard = 0.0009144 kilometers. Therefore, we can convert 4900 yards to kilometers:
\[
4900 \text{ yards} \times 0.0009144 \frac{\text{km}}{\text{yard}} = 4.48 \text{ km}
\]

### Step 2: Convert minutes to hours

1.5 minutes to hours:
\[
1.5 \text{ minutes} \times \frac{1 \text{ hour}}{60 \text{ minutes}} = 0.025 \text{ hours}
\]

### Step 3: Find the speed in kilometers per hour

Now we can compute the speed in kilometers per hour:
\[
\frac{4.48 \text{ km}}{0.025 \text{ hours}} = 179.2 \text{ km/hr}
\]

### Step 4: Round to the nearest whole number

Rounding 179.2 to the nearest whole number gives:
\[
\boxed{179} \text{ km/hr}
\]

This is the final answer for the speed expressed in kilometers per hour.