Question

Convert miles per hour to meters per second. Round the answer to the nearest whole number. (1 mile = 1,609 meters, 1 hour = 3,600 seconds)

65 miles per hour = ???? meters per second.

Answer 1

29 meters per second

Explanation:

Convert 65 miles per hour to meters per second. Round the answer to the nearest whole number. (1 mile = 1,609 meters, 1 hour = 3,600 seconds)

To convert, we will follow the steps below;

First lets change 65 miles to meters.

To do that, we will simply use proportion;

Let x represent 65 miles in meters

1 mile = 1609 meters

65 miles= x

cross-multiply

x = 65 × 1609

x = 104585 meters

65 miles = 104585 meters

when we see 'per hour' it shows we are dividing by 1 hour

1 hour = 3600 seconds, this implies we will divide 104585 by 3600

65 miles per hour =
`(104585)/(3600)` = 29.05 ≈ 29 meters per second to the nearest whole number

Answer 2

29 m/s

Explanation:

You want to convert 65 mph to the nearest whole number of meters per second.

Conversion

Units conversion is accomplished by multiplying by a fraction that cancels the units you have and replaces them with the units you want. The numerator and denominator of the fraction are made equal.

`65\frac{\text{ mi}}{\text{ h}}=65\frac{\text{ mi}}{\text{ h}}\cdot\frac{1609\text{ m}}{1\text{ mi}}\cdot\frac{1\text{ h}}{3600\text{ s}}=(65\cdot 1609)/(3600)\cdot\frac{\text{mi\,h\,m}}{\text{mi\,h\,s}}\approx \boxed{29\text{ m/s}}`