# Recent questions tagged work-time

1
Water pours into a rectangular tank of $20\:metres$ depth which was initially half-filled. The rate at which the height of the water rises is inversely proportional to the height of the water at that instant. If the height of the water after an hour is observed to be $12\:metres$, how much time, in hours, will be required to fill up the tank? $\frac{75}{11}$ $\frac{125}{11}$ $\frac{25}{3}$ $5$
1 vote
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3
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in $20$ hours. If initially the tank was empty and someone started the two pups together ... take for the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$
4
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$
5
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
6
Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open for $4$ hours, Then $P$ is closed and $Q$ is opened. After $6$ more hours $R$ is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$
7
Chandan and Falguni work on alternate days; Chandan working on the 1st day, Falguni on the 2nd, then Chandan again on the 3rd followed by Falguni on the 4th and so on. In this way, they can finish the work in 25 days. The work done by Chandan varies every day and on any ... days but my doubt is here asked is number of days so shouldn't we fill(answer) 55 instead of 54.25 as days cant be in decimal
1 vote
8
Three identical inlet pipes were opened at 6:00 AM to fill up an empty container. At 8:30 AM, 2 identical pipes (having different rate from existing pipe's rate) are also opened. At 9:30 AM, it still required 1 more hour for all these pipes to fill up ... which were added at 8:30 AM can individually fill up the empty container in 40 hours, then the capacity of the container is ____________ m3.
9
i have seen it's solution by equation method can any one explain it how to do this problem with any other method which would be easy
10
$A$ is $50\%$ as efficient as $B$. $C$ does half of the work done by $A$ and $B$ together.If $C$ alone does the work in $40$ days, then $A, B,$ & $C$ together can do the work in $13\dfrac{1}{3}$ days $15$ days $20$ days $30$ days
11
A mason can complete a brick wall of size $10 \text{ ft.}$ high, $15 \text{ ft }$ wide using $9 \text{ inches}$ bricks in $3 \text{ days}$. How long will be take to make $4$ walls of size $10 \text{ ft}$ high, $5 \text{ ft}$ wide using $9 \text{ inches}$ bricks?
12
Two machine $M1$ and $M2$ are able to execute any of four jobs $P,Q,R$ and $S$. The machines can perform one job on one object at a time. Jobs $P,Q,R$ and $S$ take $30$ minutes, $20$ minutes, $60$ minutes and $15$ minutes each respectively. There are $10$ objects each ... Job $S$ on $4$ objects. What is the minimum time needed to complete all the jobs? $2$ hours $2.5$ hours $3$ hours $3.5$ hours
13
$A$ does half as much work as $B$ in three-fourths of the time. If together they take $18$ days to complete a work, how much time shall $A$ & $B$ take to do it individually ?
14
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day? 50 89 146 175
15
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
1 vote
16
The distance from your home to your office is $4$ kilometers and your normal walking speed is $4$ Km/hr. On the first day, you walk at your normal walking speed and take time $T_1$ to reach office. On the second day, you walk at a speed of $3$ Km/hr from $2$ Kilometers, and at a speed of $5$ Km/hr for the ... $T_{1}>T_{3}$ $T_{1}=T_{2}$ and $T_{1}<T_{3}$ $T_{1}<T_{2}$ and $T_{1}=T_{3}$
17
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$
18
Two pipes A and B can fill tank in 10 and 20 min respectively.if both pipes are opened simultaneously ,after how many minutes should pipe B be closed so that the tank is full in 8 min? Ans: 4 min
19
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have half the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
20
Ananth takes $6$ hours and Bharath takes $4$ hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. $1$ $2$ $3$ $4$
21
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have $6$ hour shifts in a day, whereas E and F have $12$ hours shifts. What is the ratio of contribution of M to contribution of E in the project? $1:1$ $1:2$ $1:4$ $2:1$
22
P, Q, R and S are working on a project. Q can finish the task in $25$ days, working alone for $12$ hours a day. R can finish the task in $50$ days, working alone for $12$ hours per day. Q worked $12$ ... . What is the ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11:10$ $20:21$ $21:20$
23
If 9 engines consume 24 metric of coal , when each is working a 8 hours a day ; how much coal will required for 8 engines each running 13 hours a day it is been given that 3 engines of former type consume 4 engines of latter type ?
24
Atul does half as much work as Anshu in $\dfrac 4 5$ of the time. If together they take $16$ days to complete the work, how many days shall Anshu take to do it? 23 25 26 30
25
$5$ skilled workers can build a wall in $20$ days; $8$ semi-skilled workers can build a wall in $25$ days; $10$ unskilled workers can build a wall in $30$ days. If a team has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long it will take to build the wall? $20$ days $18$ days $16$ days $15$ days
26
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all the orders are ... minimum number of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$