Is twice as good as Q Together they finish the work in 14 days in how many days can you alone do the same work?


Correct Answer:

Description for Correct answer:

If time taken by B be 2x days then time taken by A = x days. \( \Large \therefore \) \( \Large \frac{1}{x} + \frac{1}{2x} \) = \( \Large \frac{1}{14} \)=>\( \Large \frac{2 + 1}{2x} \) = \( \Large \frac{1}{14} \) => \( \Large {3}{x} \) = \( \Large \frac{1}{7} \)

=> x = 3 \( \Large \times \)7 = 21 days


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Q. Rini is twice as good as Vinay. Together, they finish the work in 14 days. In how many days can Vinay alone do the same work?

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A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

Click here👆to get an answer to your question ✍️ A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

Is twice as good as Q Together they finish the work in 14 days in how many days can you alone do the same work?

Question

A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

A

13

B

15

C

17

D

21

Medium Open in App Solution Verified by Toppr

Correct option is D)

Let the work done by B be x.

∴Work done by A =2x

Work done by A and B together in 14 days =1

Work done by A and B together in 1 day =

14 1 ​

⇒ Work done by A in 1 day + Work done by B in 1 day =

14 1 ​ x+2x= 14 1 ​ ⇒3x= 14 1 ​ ⇒x= 42 1 ​

Work done by B in 1 day =

42 1 ​

∴ Work done by A in 1 day =

21 1 ​

Hence, to finish the work, A require 21 days.

Hence, A alone can finish the work in 21 days.

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[Solved] P is twice as good as Q and together they finish a piece of

Short Trick: Number of days taken by P alone to complete the work = {(2 + 1) × 36}/2 = 54 days Detailed Solution: Given, P is twice as good as Q

Is twice as good as Q Together they finish the work in 14 days in how many days can you alone do the same work?

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P is twice as good as Q and together they finish a piece of work in 36 days. The number of days taken by P alone to finish the work?

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48 60 54 72

Answer (Detailed Solution Below)

Option 3 : 54

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Detailed Solution

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Short Trick:

Number of days taken by P alone to complete the work

= {(2 + 1) × 36}/2 = 54 days

Detailed Solution:

Given,

P is twice as good as Q.

⇒ (P’s 1 day’s work) / (Q’s 1 day’s work) = 2 / 1

Given,

⇒ (P + Q)’s 1 day’s work = 1/36

⇒ P’s 1 day’s work = (1/36) × (2/3) = 1/54

∴ P alone can finish work in 54 days.

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More Time and Work Questions

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A is twice as good workman as B. Together, they finish the work in 14 days. In how many days can it be finish by B separately

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Time and Work- Aptitude Questions and Answers

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A is twice as good workman as B. Together, they finish the work in 14 days. In how many days can it be finish by B separately?

Correct Answer :

A) 21 B) 48 C) 42 D) 35 42

Explanation :

let A take X days to complete the work and B takes 2X days.

A's one day work = 1/X , B's one day work = 1/2X

(A+B)'s one day work => 1/X + 1/2X = 1/14

=> 14/X + 14/2X = 1 => 14+7=X => X=21 Thus,

B working alone will require 2*21=42 days to complete the work

A working alone will require 21 days to complete the work

Post/View Answer Post comment Cancel

Santosh K

2018-07-28 14:34:23

A is twice good as B

So A's workdone in one day= 2x

& B's workdone in one day= x

So, 2x + x = 1/14 3x = 1/14 X = 1/42

So, B's workdone in oneday= 1/42

& A's workdone in one day= 1/21

So, A alone will take 21 days to complete a piece of work

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A is twice as good as workman as B and therefore able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work together?

Correct Answer :

A) 20 days B) 40 days C) 60 days D) 80 days 20 days

Explanation :

Let A takes X days to complete the work and B takes 2X days

according to question, A takes 30 days less than B, that is X = 2X – 30

X=30

thus ,A take 30 days to complete the work and B takes 60 days

hence, A and B one days work is 1/30 + 1/60 = 1/20

Therefore, the whole job together they will be completed in 20 days

Post/View Answer

16 workers working 6 hours day can build a wall of length 150m, breadth 20m, and height 12m in 25 days. In how many days 12 workers, working 8 hours a day will build a wall of length 800m, breadth 15m and height 6m?

Correct Answer :

A) 50 days B) 25 days C) 25 days D) 60 days 50 days

Explanation :

to build a wall of 150*20*12=36000 ,hours required = 16*6*25=2400

to build a wall of 800*15*6=72000 , which is exactly twice as big as the first one,

You need 2400*2 hours = 4800

that is 12*8*days = 4800

days = 4800/96 = 50 Post/View Answer

A can do a piece of work in 10 days while B can do the same work in 20 days. They start together but A leaves after three days. How many days will B take to complete the remaining work?

Correct Answer :

A) 14 days B) 8 days C) 12 days D) 11 days 11 days

Explanation :

One day's work of A and B = (1/10 + 1/20) = 3/20

Work done by A and B together in the 3 days = 3 (1/10 + 1/20) = 9/20

Remaining Work =1- 9/20 = 11/20

1/20 Work done by B in a day

thus,11/20 Work wll be done by B in (11/20)*20 =11 days

Post/View Answer

If 3 men or 4 women can reap a field in 30 days, how long will 3 men and 6 women take to reap it?

Correct Answer :

A) 21 days B) 16 days C) 18 days D) 12 days 12 days

Explanation :

3 men can complete work in 30 days

so, Work done by one man in a day = 1/(3*30)

and Work done by one women in a day =1/(4*30))

Thus, 3 men and 6 women will work in a day => 3/(3*30) + 6/(4*30)

= 1/30( 1 + 6/4)

= (1/30)*(10/4) =>1/12

3 men and 6 women do 1/12th part of work in a day,so they will complete the work in 12 days

Post/View Answer

A is twice as good a workman as B, and finishes the work in 14 days less than B. In how many days can it be done by A alone?

Correct Answer :

A) 14 B) 21 C) 28 D) 42 14

Explanation :

let A take X days to complete the work and B takes 2X days

according to question, A takes 14 days less than B, that is X = 2X – 14 =>14

thus ,A take 14 days to complete the work and B takes 28 days.

Post/View Answer

30 persons can do a piece of work in 24 days. How many more people are required to complete the work in 20 days?

Correct Answer :

A) 4 B) 5 C) 6 D) 10 6

Explanation :

let X persons required to complete the work in 20 days

then, work done => 30 * 24 = X *20

thus ,num of persons, X = 720 / 20 => 36

extra ,more people required = 36 - 30 = 6 persons

Post/View Answer

A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?

A) 70 days B) 171/4 days C) 190/7 days D) 120/7 days

Correct Answer :

स्रोत : webiwip.com