As shown in the diagram above, a lever resting on a fulcrum has weights of \(w_1\) pounds and \(w_2\) pounds, located

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

diagram.jpg
As shown in the diagram above, a lever resting on a fulcrum has weights of \(w_1\) pounds and \(w_2\) pounds, located \(d_1\) feet and \(d_2\) feet from the fulcrum. The lever is balanced and \(w_1d_1=w_2d_2.\) Suppose \(w_1\) is \(50\) pounds and \(w_2\) is \(30\) pounds. If \(d_1\) is \(4\) feet less than \(d_2,\) what is \(d_2,\) in feet?

A. 1.5

B. 2.5

C. 6

D. 10

E. 20

Answer: D

Source: Official Guide

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7294
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
Gmat_mission wrote:
Tue Nov 10, 2020 8:10 am
diagram.jpg

As shown in the diagram above, a lever resting on a fulcrum has weights of \(w_1\) pounds and \(w_2\) pounds, located \(d_1\) feet and \(d_2\) feet from the fulcrum. The lever is balanced and \(w_1d_1=w_2d_2.\) Suppose \(w_1\) is \(50\) pounds and \(w_2\) is \(30\) pounds. If \(d_1\) is \(4\) feet less than \(d_2,\) what is \(d_2,\) in feet?

A. 1.5

B. 2.5

C. 6

D. 10

E. 20

Answer: D

Source: Official Guide
Solution:

We are given that w(1) = 50, w(2) = 30, and d(1) = d(2) - 4. If we let d(2) = d, we have:

50 x (d - 4) = 30 x d

50d - 200 = 30d

20d = 200

d = 10

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage