Question

Samia set off on her bicycle to visit her friend, traveling at an average speed of $17$ kilometers per hour. When she had gone half the distance to her friend's house, a tire went flat, and she walked the rest of the way at $5$ kilometers per hour.

In all, it took her $44$ minutes to reach her friend's house. In kilometers rounded to the nearest tenth, how far did Samia walk?

$2.0$

$2.2$

$2.8$

$3.4$

$4.4$

Answer: C

Concepts:distance rate and time linear equation

Difficulty rating: 1220

Solution:

Let $d$ be the distance Samia walked. She bicycled the same distance, so her total travel time gives $\dfrac{d}{17}+\dfrac{d}{5}=\dfrac{44}{60}.$ Solving yields $d=\dfrac{17}{6}=2.833\ldots,$ which rounds to $2.8$ kilometers.

Thus, the correct answer is C .

2017 AMC 10B Problem 7

Answer: C

Difficulty rating: 1220

Solution:

Problem 7 in Other Years