GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Sep 2019, 03:21

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Ramesh and Ganesh can together complete a work in 16 days.

Author Message
TAGS:

### Hide Tags

Intern
Joined: 03 Jul 2019
Posts: 33
Location: India
GPA: 3
WE: Sales (Venture Capital)
Ramesh and Ganesh can together complete a work in 16 days.  [#permalink]

### Show Tags

23 Aug 2019, 11:02
2
00:00

Difficulty:

55% (hard)

Question Stats:

55% (02:26) correct 45% (02:37) wrong based on 20 sessions

### HideShow timer Statistics

Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

A 12
B 14.5
C 13.5
D 11
E 9
Director
Joined: 19 Oct 2018
Posts: 880
Location: India
Re: Ramesh and Ganesh can together complete a work in 16 days.  [#permalink]

### Show Tags

23 Aug 2019, 13:24
3
Let efficiency of Ganesh= G
and efficiency of Ramesh= R

The work that both can finish in 16-7=9 days got finished in 16-6=10 days, because Ramesh efficiency reduced to 70%.

9(R+G)=10(0.7R+G)
9R+9G=7R+10G
G=2R

Number of days taken by Ganesh to complete the remaining work alone= $$\frac{9(R+G)}{G}$$= $$\frac{9*(0.5G+G)}{G}$$= 27/2=13.5

AbdulMalikVT wrote:
Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

A 12
B 14.5
C 13.5
D 11
E 9
Manager
Joined: 05 May 2019
Posts: 78
Schools: Tuck, NYU Stern, Yale, LBS, INSEAD, ISB, MBS
GPA: 3
Re: Ramesh and Ganesh can together complete a work in 16 days.  [#permalink]

### Show Tags

25 Aug 2019, 04:09
1
Let $$R$$ be the efficiency/rate of Ramesh
And, Let $$G$$ be the efficiency of Ganesh

The work can be done in 16 days provided that $$R$$ and $$G$$are simultaneous.

The work is done for the first 7 days at a rate of $$R+G$$
From the question, we understand that we need to find out the remaining work done.

The remaining work done will be $$9(R+G)$$ ----- Let this be eqn 1

We know that $$9(R+G)=10(0.7R+G)$$ from the given information.
$$=>$$ $$9+9G=7R+10G$$
$$=> G=2R$$ ----- Let this be eqn 2

The number of days for Ganesh to finish the work would be
$$Time = \frac{Work}{Rate}$$

From eqn 1 we know the work done wil be $$= 9(R+G)$$
And from eqn 2 we know that $$=> G=2R$$

$$=> \frac{9(R+G)}{G}$$
$$=>\frac{9(0.5G+G)}{G}$$
$$=> \frac{13.5G}{G}$$
$$=> 13.5 Days$$
Manager
Joined: 07 Aug 2017
Posts: 86
Location: India
GPA: 4
WE: Information Technology (Consulting)
Re: Ramesh and Ganesh can together complete a work in 16 days.  [#permalink]

### Show Tags

25 Aug 2019, 05:08
1
R = Rate of Ramesh; G = Rate of Ganesh; W1 = work done in first 7 days; W2 = work done in next 10 days; Wt = total work

Ramesh and Ganesh can complete the work normally in 16 days.
1 = (R+G)*16 _______(1)

Also, Wt = (R+G)*16__(2)

In first 7 days, work done W1 is,
w1 = (R+G)*7

In next 10 days, w2 is,
w2 = (0.7R+G)*10

Since w1 + w2 = wt
7R+7G+7R+10G=16R+16G
G=2R________(3)

From (1) & (3) we get,
R=1/48 and G=1/24
Therefore, w1 = 7/16 and w2 = 9/16

Time taken to complete remaining work if only Ganesh would have worked after 7 days -
w2=G*t
9/16=(1/24)*t
t=27/2 = 13.5

Re: Ramesh and Ganesh can together complete a work in 16 days.   [#permalink] 25 Aug 2019, 05:08
Display posts from previous: Sort by