Question

Kwan is driving at a constant speed. After hours he has driven a untal distance of 90 milles. 3 n/n

(a) How far will Kwan drive in 2 hours at this
(b) If D represents the ditance Kwan has driven rate? in miles and i represents the time he has been driving, in hours, then write an equation for D in terms of 2.
(c) Use your equation from (b) to determine how
(d) Kwan is driving a total of 234 miles. How far Kwan drives in 15 minutes. long will his trip take him, to the nearest tent of an hour, assuming he travels at this constant rate?

Answer 1

Kwan will drive 45 miles in 2 hours at a constant rate of 22.5 mph. The equation for the distance he has driven is D = 22.5t. His trip will take about 10.4 hours to drive a total of 234 miles.

Step-by-step explanation:

To find the distance Kwan will drive in 2 hours at a constant rate, we can use the fact that Kwan drove 90 miles in 4 hours. This means that Kwan drives 90/4 = 22.5 miles per hour. To find the distance Kwan will drive in 2 hours, we can multiply the rate by the time: 22.5 mph * 2 hours = 45 miles.

The equation for the distance Kwan has driven, D, in terms of time, t, is D = rt, where r is the rate of driving. In this case, the rate is 22.5 mph, so the equation is D = 22.5t.

To determine how long Kwan's trip will take to drive a total of 234 miles at a constant rate, we can rearrange the equation D = 22.5t to solve for t. Dividing both sides of the equation by 22.5, we get t = D/22.5. Substituting the given distance of 234 miles, we have t = 234/22.5 = 10.4 hours.

Therefore, Kwan's trip will take about 10.4 hours to drive a total of 234 miles.