## An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

##### This topic has expert replies
Moderator
Posts: 6253
Joined: 07 Sep 2017
Followed by:20 members

### An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

by BTGmoderatorDC » Wed Nov 03, 2021 6:42 am

00:00

A

B

C

D

E

## Global Stats

An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

OA D

Source: Manhattan Prep

### GMAT/MBA Expert

GMAT Instructor
Posts: 6365
Joined: 25 Apr 2015
Location: Los Angeles, CA
Thanked: 43 times
Followed by:26 members

### Re: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

by [email protected] » Fri Nov 05, 2021 7:46 am
BTGmoderatorDC wrote:
Wed Nov 03, 2021 6:42 am
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

OA D

Source: Manhattan Prep
We can create the proportion:

6/(7/10) = n/(3/10)

60/7 = 10n/3

180 = 70n

180/70 = n

18/7 = n

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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

Legendary Member
Posts: 2064
Joined: 29 Oct 2017
Followed by:6 members

### Re: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

by swerve » Sat Nov 06, 2021 6:38 pm
BTGmoderatorDC wrote:
Wed Nov 03, 2021 6:42 am
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

OA D

Source: Manhattan Prep
Suppose, capacity $$= 70 .$$
So, to fill $$\dfrac{7}{10}$$ of $$70$$ i.e. $$49,$$ it took $$6$$ minutes.

Hence, to fill $$70$$ it will take $$= 10\ast \dfrac{6}{7} = \dfrac{60}{7}$$ minutes.

So, additional time $$= \dfrac{60}{7} - 6 = \dfrac{18}{7} \Longrightarrow$$ D

• Page 1 of 1