JIPMAT 2021 (QA) - 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it? | PYQs + Solutions | AfterBoards
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JIPMAT 2021

Arithmetic
>
Time & Work

Easy

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?

Correct Option: 4
Let's say one man's work per day = MM units \newline One woman's work per day = WW units \newline Total work = TT units
From first equation: \newline (4M+6W)×8=T(4M + 6W) × 8 = T --> Eq. 1
From second equation: \newline (3M+7W)×10=T(3M + 7W) × 10 = T --> Eq. 2
Equating (1) and (2): \newline 32M+48W=30M+70W32M + 48W = 30M + 70W \newline 32M−30M=70W−48W32M - 30M = 70W - 48W \newline 2M=22W2M = 22W \newline M=11WM = 11W
Substituting back in equation (1): \newline (44W+6W)×8=T(44W + 6W) × 8 = T \newline 50W×8=T50W × 8 = T \newline 400W=T400W = T
For 10 women to do total work TT: \newline 10W×t=400W10W × t = 400W \newline t=40t = 40
Therefore, 10 women will finish the job in 40 days.
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A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

JIPMAT 2022

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

JIPMAT 2023

Given below are two statements:

Statement (I): \newline 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.

Statement (II):\newline The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.

Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.

In light of the above statements, choose the most appropriate answer from the options given below.

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