Question

I need help with this problem, Iceman drove at an average speed of 50 mi/h from her home in Seattle to visit her sister in St. Louis. She stayed in St. Louis for 15 hours, and on the trip back averaged 35 mi/h. She returned home 42 hours after leaving. How many miles is Seattle from St. Louis?

Answer 1

To solve this problem, we have to figure out the time spent travelling and then use the speed-distance-time equation to find the distance between the two places. The distance between Seattle and St. Louis is 2295 miles.

How many miles is Seattle from St. Louis

To calculate the miles or distance between Seattle and St. Louis, we have to take into consideration that out of the 42 hours she spent in her journey, she stayed 15 hours over at St. Louis.

$42 - 15 = 27$

She spent 27 hours travelling.

Her speed in the first journey was 50mi/h and her speed in the second journey was 35mi/h.

This implies she was faster in her first journey compared to her second journey.

Data;

• time = 27 hours
• speed = 85mi/h

$speed = \frac{distance}{time} \\distance = speed * time$

Let's substitute the values

$distance = (50 + 35) * 27 = 2295mi$

The distance between Seattle and St. Louis is 2295 miles

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