Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Difference between revisions of "1998 CEMC Gauss (Grade 7) Problems/Problem 12"

(→‎Solution)
(→‎Solution)
 
Line 7: Line 7:
 
Steve plants 10 trees every 3 minutes, meaning he plants one tree every <math>\frac{3}{10}</math> minute.
 
Steve plants 10 trees every 3 minutes, meaning he plants one tree every <math>\frac{3}{10}</math> minute.
  
−
To plant 2500 trees, he needs <math>\frac{3}{10} \cdot 2500 = 750</math> minutes or <math>\frac{750}{60} = 12\dfrac{1}{2}</math> hours.
+
To plant 2500 trees, he needs 750 minutes or <math>\frac{750}{60} = 12\dfrac{1}{2}</math> hours.
  
 
The answer is <math>\text{(E)}.</math>
 
The answer is <math>\text{(E)}.</math>
  
 
-edited by coolmath34
 
-edited by coolmath34

Latest revision as of 14:24, 29 January 2021

Problem

Steve plants ten trees every three minutes. If he continues planting at the same rate, how long will it take him to plant 2500 trees?

$\text{(A)}\ 1 \dfrac{1}{4} \text{h} \qquad \text{(B)}\ 3 \text{h} \qquad \text{(C)}\ 5 \text{h} \qquad \text{(D)}\ 10 \text{h} \qquad \text{(E)}\ 12 \dfrac{1}{2} \text{h}$

Solution

Steve plants 10 trees every 3 minutes, meaning he plants one tree every $\frac{3}{10}$ minute.

To plant 2500 trees, he needs 750 minutes or $\frac{750}{60} = 12\dfrac{1}{2}$ hours.

The answer is $\text{(E)}.$

-edited by coolmath34

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1998_CEMC_Gauss_(Grade_7)_Problems/Problem_12&oldid=143846"