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# Algebra

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Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. What was Carissa's average speed during the entire round trip?

Feb 19, 2023

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The required average speed that Carissa is given is 150 meters per hour.

Given that,
Carissa the chess player is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 150 meters per hour when walking across flat ground, and 200 meters per hour when walking downhill.

Here,
Carissa walks across Boston from a café to a boba shop and then takes the same route in reverse to return to the café.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time  = 2 [1 + 1 + 1] = 6 hour
Average speed = distance / time = 900 / 6 = 150 meters per hour,

Thus, the required average speed of the Carissa is given as 150 meters per hour.

Feb 21, 2023