Question

the posted speed limit is 45 miles per hour. select all of the rates that are faster than 45 miles per hour.
customary and metric unit equivalents
length: 1 m ≈ 3.28 ft; 1 m ≈ 39.37 in.; 1 in. = 2.54 cm; 1 mi ≈ 1.61 km
weight/mass: 1 oz ≈ 28.35 g; 1 kg ≈ 2.20 lb; 1 metric ton (t) ≈ 1.102 t
capacity: 1 gal ≈ 3.79 l; 1 qt ≈ 0.95 l
options: 86.4 km per hour; 64.1 km per hour; 45 km per hour; 91 km per hour; 112.3 km per hour

Explanation:

Step1: Convert 45 mph to km/h

We know that \( 1\ \text{mi} \approx 1.61\ \text{km} \). So, to convert miles per hour to kilometers per hour, we multiply the speed in miles per hour by 1.61.
For a speed of 45 miles per hour, the conversion is \( 45\times1.61 = 72.45\ \text{km/h} \).

Step2: Compare each speed with 72.45 km/h

• For 86.4 km/h: \( 86.4>72.45 \), so it is faster.
• For 64.1 km/h: \( 64.1 < 72.45 \), so it is slower.
• For 45 km/h: \( 45 < 72.45 \), so it is slower.
• For 91 km/h: \( 91>72.45 \), so it is faster.
• For 112.3 km/h: \( 112.3>72.45 \), so it is faster.

Answer:

The rates faster than 45 miles per hour (72.45 km/h) are 86.4 km per hour, 91 km per hour, 112.3 km per hour. So the correct options are:

• 86.4 km per hour
• 91 km per hour
• 112.3 km per hour