/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 Rita Jeptoo of Kenya was the fir... [FREE SOLUTION] | 91影视

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Chapter 2: Problem 22

Rita Jeptoo of Kenya was the first female finisher in the 110 th Boston Marathon. She ran the first \(10.0 \mathrm{km}\) in a time of $0.5689 \mathrm{h}$. Assume the race course to be along a straight line. (a) What was her average speed during the first \(10.0 \mathrm{km}\) segment of the race? (b) She completed the entire race, a distance of \(42.195 \mathrm{km},\) in a time of 2.3939 h. What was her average speed for the race?

Short Answer

Expert verified
Answer: Rita's average speed during the first 10 km segment was approximately 17.58 km/h, and her average speed for the entire race was approximately 17.63 km/h.

Step by step solution

01

(a) Calculate the average speed during the first 10.0km segment of the race

Given that Rita ran the first 10.0km in a time of 0.5689 h, we can calculate her average speed as: Average speed = Distance / Time Average speed = 10.0 km / 0.5689 h
02

(a) Calculate the average speed

Now, we can compute the average speed during the first 10km segment: Average speed = 10.0 km / 0.5689 h 鈮� 17.58 km/h
03

(b) Calculate the average speed for the whole race

Given that Rita completed the entire race (42.195 km) in a time of 2.3939 h, we can calculate her average speed again using the same formula: Average speed = Distance / Time Average speed = 42.195 km / 2.3939 h
04

(b) Calculate the average speed

Now, we can compute the average speed for the whole race: Average speed = 42.195 km / 2.3939 h 鈮� 17.63 km/h Thus, Rita's average speed during the first 10km segment of the race was approximately 17.58 km/h, and her average speed for the entire race was approximately 17.63 km/h.

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