Question

Problems $14,$ $15,$ and $16$ involve Mrs. Reed’s English assignment.

A Novel Assignment

The students in Mrs. Reed’s English class are reading the same $760$ -page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in $20$ seconds, Bob reads a page in $45$ seconds and Chandra reads a page in $30$ seconds.

If Bob and Chandra both read the whole book, Bob will spend how many more seconds reading than Chandra?

$7{,}600$

$11{,}400$

$12{,}500$

$15{,}200$

$22{,}800$

Answer: B

Concepts:rate distributive property

Difficulty rating: 980

Small Hint:

Compare Bob and Chandra by seconds per page.

Big Hint:

Bob takes the same extra number of seconds on each of the $760$ pages.

Solution:

Bob will take $760 \cdot 45$ seconds to read the book, and Chandra will take $760 \cdot 30$ seconds.

The difference between the time they spent reading is $760 \cdot 45 - 760 \cdot 30$ $= 760(45 - 30)$ $= 760 \cdot 15$ $= 11,400$ seconds.

Thus, B is the correct answer.

2006 AMC 8 Problem 14

Answer: B

Difficulty rating: 980

Small Hint:

Big Hint:

Solution:

Problem 14 in Other Years