laurens science class is taking a field trip to the nearest natural history museum. the museum is 62.5 miles…

laurens science class is taking a field trip to the nearest natural history museum. the museum is 62.5 miles from laurens school. the class plans to stop after 30 minutes, or 0.5 hours, to visit a local wildlife refuge. the bus driver plans to drive at an average speed of 50 miles per hour. how many hours will the second part of the trip take? write your answer as a whole number or a decimal.

laurens science class is taking a field trip to the nearest natural history museum. the museum is 62.5 miles from laurens school. the class plans to stop after 30 minutes, or 0.5 hours, to visit a local wildlife refuge. the bus driver plans to drive at an average speed of 50 miles per hour. how many hours will the second part of the trip take? write your answer as a whole number or a decimal.

Answer

Explanation:

Step1: Calculate distance of second - part

The total distance is 62.5 miles. The bus stops after 0.5 hours. Assuming the speed during the first 0.5 - hour is also 50 miles per hour, the distance covered in the first 0.5 hours is $d_1 = 50\times0.5=25$ miles. The distance of the second - part of the trip $d_2=62.5 - 25 = 37.5$ miles.

Step2: Calculate time of second - part

We know that speed $v = 50$ miles per hour and distance $d_2 = 37.5$ miles. Using the formula $t=\frac{d}{v}$, we substitute $d = d_2$ and $v = 50$ into it. So $t=\frac{37.5}{50}=0.75$ hours.

Answer:

0.75