Question

The winner of a 100 mile race drove his car to victory at a rate of 120.1229 mph. What was his time to the nearest thousandth of an hour)?

His time was hours.

(Round to the nearest thousandth.)

Answer 1

The winner of a 100-mile race driving at a speed of 120.1229 mph completed the race in approximately 0.832 hours when rounded to the nearest thousandth of an hour.

Step-by-step explanation:

The time it took the winner of a 100-mile race driving at a rate of 120.1229 mph to the nearest thousandth of an hour can be calculated by dividing the total distance by the speed, which is 100 miles ÷ 120.1229 mph. To find this, we use the formula:

Time (hours) = Distance (miles) ÷ Speed (mph)

Therefore:

Time = 100 miles ÷ 120.1229 mph = 0.832 hours

When rounded to the nearest thousandth, the time taken is approximately 0.832 hours.

Answer 2

`t=1.201\ \text{hour}`

Step-by-step explanation:

Given that,

Distance, d = 100 mile

Velocity of the winner, v = 120.1229 mph

We know that velocity of an object is equal to distance per unit time. Let t is the time. So,

`v=(d)/(t)\\\\t=(d)/(v)\\\\t=(120.1229)/(100 )\\\\t=1.201229\ \text{hour}\\\\\text{Round to the nearest thousandth}\\\\t=1.201\ \text{hour}`

Hence, 1.201 hour is taken by the winner.