Rob measures his go-cart’s speed to be 250 inches per second. What is the go-cart’s speed in miles per hour (to the nearest tenth) ?
A) 7.1 mph
B) 14.2 mph
C) 28.4 mph
D) 35.2 mph

Respuesta :

Answer:

b.14.2 mph

Step-by-step explanation:


Answer:

The cart’s speed in miles per hour is 14.2 miles per hour .

Option (B) is correct .

Step-by-step explanation:

As given

Rob measures his go-cart’s speed to be 250 inches per second.

As

[tex]1\ inch = \frac{1}{63360}\ miles[/tex]

[tex]1\ second = \frac{1}{3600}\ hours[/tex]

Now convert 250 inches per second into miles per hour .

[tex]250 inches\ per\ second = \frac{250\times \frac{1}{63360}}{\frac{1}{3600}}\ miles\ per\ hour[/tex]

[tex]250 inches\ per\ second = \frac{\frac{250}{63360}}{\frac{1}{3600}}\ miles\ per\ hour[/tex]

[tex]250 inches\ per\ second = \frac{250\times 3600}{63360}\ miles\ per\ hour[/tex]

[tex]250 inches\ per\ second = \frac{900000}{63360}\ miles\ per\ hour[/tex]

250 inches per second = 14.2(Approx) miles per hour.

Therefore the cart’s speed in miles per hour is 14.2 miles per hour .

Option (B) is correct .