Raymond took several days to mow a certain lawn. He mowed 1/3 of the

Question

Raymond took several days to mow a certain lawn. He mowed 1/3 of the lawn the first day, 1/2 of the remaining unmowed portion the second day, and 3/4 of the remaining unmowed portion the third day. What fraction of the lawn remained unmowed at the end of the third day?

(A) 1/2
(B) 1/6
(C) 1/8
(D) 1/12
(E) 1/24

(A) 1/2 
(B) 1/6 
(C) 1/8 
(D) 1/12 
(E) 1/24

Skywalker18 · Answer

Fraction of lawn mowed on first day = 1/3
Fraction of lawn mowed on second day = (1- 1/3)*1/2 = 2/3 * 1/2 = 1/3
Fraction of lawn mowed on third day = 1/3 * 3/4 = 1/4
Fraction of lawn that remained unmowed at the end of third day = 1 - (1/3 + 1/3 + 1/4) = 1 - 11/12 = 1/12

Answer D

Abhishek009 · Answer

Let the total work be 12

Work completed after  1^{st}  day is 4 , work left is 8

Work completed after  2^{nd}  day is 4 , work left is 4

Work completed after  3^{rd}  day is 3 , work left is 1

Part of work remaining = Part of work left / Total Work

Part of work remaining = 1 / 12

Hence answer is (D)

RajKomanapalli · Answer

This question can be solved in two ways:

First method:  Find the LCM of the denominators of all the fraction given in the question it 12

so assume the work that is to be completed as 12 parts

1st day, 1/3rd of the work is done. i.e, 4 parts are done and 8 parts of work is left.

2nd day, 1/2 of the remaining work is done. i.e, 4 parts of the remaining 8 parts is done. remaining work = 4 parts

3rd day, 3/4th of the remaining work is done. i.e, 3 parts of the remaining 4 parts is done. remaining work = 1 part

1 part out of 12 parts =~ 1/12

Second method:  Convert fractions to percentages

1st day, 1/3rd of the work is done. 1/3 = 33.3% remaining = 66.6%

2nd day, 1/2 of the remaining work is done. i.e, 1/2 of 66.6% is 33.3%

3rd day, 3/4th of the remaining work is done and 1/4th of the work is still left

\frac{1}{4} * 33.3  =~ 8%

now convert to fraction 8% is nearly equal to 1/12

Ters · Answer

The unmowed lawn on day 1 fill be:  (1)*(2/3) = 2/3 
The unmowed lawn on day 2 fill be:  (2/3)*(1/2) = 1/3  
The unmowed lawn on day 3 fill be:  (1/3)*(1/4) = 1/12

Raymond took several days to mow a certain lawn. He mowed 1/3 of the

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Raymond took several days to mow a certain lawn. He mowed 1/3 of the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards