Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 20)
20.
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
15
16
18
25
Answer: Option
Explanation:

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

Suppose Tanya takes x days to do the work.

5 : 4 :: 20 : x    x = 4 x 20
5

x = 16 days.

Hence, Tanya takes 16 days to complete the work.

Discussion:
94 comments Page 2 of 10.

Batscy said:   5 years ago
Tanaya is - 25% more efficient than of (Sakshi).

So let's assume,

Sakshi takes 20 days to travel 2000km with a speed of 100km/ day
So Tania should take, X days to travel 2000km with the speed of 125% of (100km/day)

So speed should be, 100/100 * 25.
So time would be, 2000/125 = 16 days.
(2)

Roji said:   1 decade ago
Hi friends,

Why can't we do in this manner?

Sakshi can done in 20 days i.e.,100%.

Where as, Tanya is x days i.e., 125%.

By cross multiplication,

x = (125*20)/100 = 25.

Answer we get 25.

So, am I wrong?

Already this type of process done in 17th sum but here it is not working yar.

Vijayalakshmi R said:   1 decade ago
S can do a work in 20 days so, s=1/20;

T can do a work 25% more efficient than S.

So, T = 1/20 + (25/100*1/20).

Finally we got T = 1/16.

So 16 is the correct answer.

I am sure about my answer so don't confuse, it may be 25 or other else.

Aisha said:   1 decade ago
Sakshi is doing work with x efficiency.

Tanya is doing work with x+25% of x efficiency.

Sakshi = x work.

Tanya = x+25/100x+125x/100 = 5/4x work.

ATQ,

Sakshi is taking 20 days means x ----> 20 days.

5/4x ----> 20 x 4/5 = 16 days.

Jai said:   1 decade ago
Hey, how come it is 16?

If Tanya takes 16 days to complete, then it means Sakshi is 25% slower than Tanya. But we have calculate Tanya's time who is 25% faster than Sakshi.

So I reckon it should be 15. Please correct me if I am wrong.

K verma said:   1 decade ago
Tanya is 25% more efficient than Sakshi.

Tanya is 125.

Sakshi is 100.

Ratio of efficiency is 5:4.

So, ratio of time will be 4:5.

Given, Sakshi can do work in 20 days means 5*4=20.

In the same way for Tanya 4*4=16.

Answer-16 days.

Vijay B said:   1 year ago
Let us solve it easily:

So, Tanya is 25% more efficient than Shaksi which means Tanya is 100% then Sakshi will be 125%
Now: Sakshi:125--> 20 days
Tanya :100-->x.
By cross multiply(x)-->x=20*100/125.
= 16days.
(7)

Manish Niroti said:   8 years ago
Tanya & sakshi capacity =5:4.
Tanya & Sakshi time taken=4:5.

If Sakshi taking 20 days it means 5 is representing 20 so 20/5 =4,
and multiply 4 with taken by Tanya so you will get 4*4 =16.

Ratio and proportion concept.
(1)

Soniya said:   9 years ago
Ratio of work done by Tanya and Sakshi = 125 : 100 = 5 : 4.
Ratio of times taken by Tanya and Sakshi = 4 : 5.
5x = 20days. ( Sakshi can complete the work in 20 days).
x = 4.
So, Tanya can finish the work in 16 days.

Mohammed Faizan said:   5 years ago
Taniya can do 25% more than Sakshi
i.e., Taniya = 100%+25% = 125%of Sakshi
Sakshi 1 day of work is 1/20 then 125% of 1/20
i.e., 1.25*(1/20) = 1/16 in one day for Taniya
So, the work will be completed in 16 days.
(16)


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