The amounts of time that three secretaries worked on a

Question

The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. If they worked a combined total of 112 hours, how many hours did the secretary who worked the longet spend on the project?

A) 80
B) 70
C) 56
D) 16
E) 14

A) 80
B) 70
C) 56
D) 16
E) 14

GyanOne · Answer

8x = 112
=> x = 14

Therefore the secretary who worked the longest spent 14 x 5 = 70 hours on the project

Option (B)

Bunuel · Answer

Since,  amounts of time  that secretaries worked in the ratio of 1 to 2 to 5, then  \frac{\frac{1x}{2x}}{5x} , for some number x --> x+2x+5x=8x=112 --> x=14 --> the secretary who worked the longet spent 5x=70 hours.

Answer: B.

Bunuel · Answer

Similar question: https://gmatclub.com/forum/the-amount-o ... 01139.html

JeffTargetTestPrep · Answer

The ratio of the amounts of time that the secretaries worked on the project is x : 2x : 5x or a total of 8x.
 
Since the total number of hours is 112:
 
8x = 112
 
x = 14
 
The secretary who worked the longest worked for 5x = 5(14) = 70 hours.
 
Answer: B

Eulerelements · Answer

\frac{5}{8ths} of the time was spent by the longest working secretary. So the answer is more than 56. An eighth of
112 is 14. 56+14=70

Hovkial · Answer

OFFICIAL GMAT EXPLANATION

Since the ratio of hours worked by the secretaries on the project is 1 to 2 to 5, the third secretary spent the longest time on the project, that is, (5/8)(112) or 70 hours. The best answer is therefore B.

BrentGMATPrepNow · Answer

The amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5  
1 + 2 + 5 = 8
So the above information is telling us that, for every 8 hours worked, the first secretary worked 1 hour, the second secretary worked 2 hours, and the third secretary worked 5 hours. 
In other words, of the 3 secretaries contributed to 1/8, 2/8 and 5/8 of the job.

If they worked a combined total of 112 hours, how many hours did the secretary who worked the longest spend on the project?  
The secretary who worked the longest is the one who contributed 5/8 of the job. 
Since the job took a total of 112 hours, the number of hours that secretary worked = 5/8 of 112
= 5/8 x 112 
= 70 hours

Answer: B

ArnauG · Answer

Let's denote the amounts of time worked by the secretaries as x, 2x, and 5x, respectively. We are given that the combined total of their hours is 112.

Therefore, we have the equation:
x + 2x + 5x = 112

Combining like terms, we get:
8x = 112

Dividing both sides by 8, we find:
x = 14

So, the secretary who worked the longest spent 5x = 5 * 14 = 70 hours on the project.

Therefore, the correct answer is (B) 70.

bumpbot · Answer

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

The amounts of time that three secretaries worked on a

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

The amounts of time that three secretaries worked on a

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