Solve the word problem.
The formula \( d = rt \) gives the distance traveled in time \( t \) at rate \( r \). A bicyclist rides at a constant rate of 15 miles per hour. How many miles will he travel in 3.5 hours?
A. 4.3 miles
B. 18.5 miles
C. 23.3 miles
D. 52.5 miles
Answer (3)
The answer is D. 52.5 miles. You have to take the given information (rate and time) and substitute it in the equation (d=rt). The makes the equation d=15x3.5 . Solve the equation to find the distance. 15x3.5=52.5, choice D.
The bicyclist will travel 52.5 miles in 3.5 hours. The correct answer is D. 52.5 miles.
To solve the word problem, we can use the formula d = rt, where d represents the distance , r represents the rate , and t represents the time.
Given that the bicyclist rides at a constant rate of** 15 miles **per hour and the time is 3.5 hours, we can substitute the values into the formula:
d = rt
d = 15 miles/hour * 3.5 hours
Multiplying the rate (15 miles/hour) by the time (3.5 hours), we get:
d = 52.5 miles
Therefore, the bicyclist will travel 52.5 miles in 3.5 hours.
The correct answer is D. 52.5 miles.
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Using the formula for distance, d = r t , we find that a bicyclist traveling at 15 miles per hour for 3.5 hours will cover a distance of 52.5 miles. Thus, the correct answer is D. 52.5 miles.
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