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Question
shawns engineering club is taking a trip by bus to a robotics fair. the fair is 175 miles from shawns school. the bus driver plans to stop and refuel after 2 hours, then complete the trip. 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. hours
Step1: Calculate distance in 2 hours
The formula for distance is $d = vt$, where $v$ is speed and $t$ is time. Given $v = 50$ miles per hour and $t = 2$ hours, so $d=50\times2 = 100$ miles.
Step2: Calculate remaining distance
The total distance is 175 miles. After traveling 100 miles, the remaining distance $d_{r}=175 - 100=75$ miles.
Step3: Calculate time for second - part
Using the formula $t=\frac{d}{v}$ again, with $d = 75$ miles and $v = 50$ miles per hour. So $t=\frac{75}{50}=1.5$ hours.
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