At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ralph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?

24 minutes

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.

We have to find the time in which Ralph will gain 2 laps i.e. 2 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in

4 miles will be gained in 6 4 = 24 minutes

  5.7 cm or 2 1/4 in

Step-by-step explanation:

Your tape measure is not shown.

  On my tape measure, 5.7 cm is the closest mark. On the inch scale, 2 1/4 inches is the next-closest mark.

On a tape measure graduated in 1/32 inch between 2 and 3 inches, you can find the closest mark by rounding to the nearest 32nd:

  2.23607 × 32 ≈ 71.55 ≈ 72 --- 32nds of an inch

  72/32 = 2 1/4 . . . . the closest mark on an inch ruler graduated in 32nds

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For a ruler graduated in millimeters, you can find the closest millimeter in the same way. There are 25.4 mm to the inch.

  2.23607 in × 25.4 mm/in ≈ 56.80 mm ≈ 57 mm

  57 mm = 5.7 cm . . . closest mark on metric scale

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When we check the error, we find the metric mark is closer than the inch mark.

  5.7 cm ≈ 2.24409 in . . . . error of 0.00802 in

  2 1/2 in = 2.25000 in . . . error of 0.01393 in