Time and Work

Q. A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 30 days starting with sunday is_________.

1. 280
2. 295
3. 290
4. 285

Q. Distance between Bholu's and Golu's house is 9 km. Bholu has to attend Golu's birthday party at 7 pm. He started from his home at 6 pm on his bicycle and covered the distance 6 km in 40 minutes. At that point, he met Chintu and he spoke to him for 5 minutes and reached Golu's birthday party at 7 pm. With what speed did he cover the second part of journey? Calculate his average speed for his entire journey?

Q.

A carpenter can make $39$ chairs in $13$ days. How many days will he take to make $30$ chairs?

Q. $35$ workers can build a house in $16$ days. How many days will $28$ workers working at the same rate take to build the same house?

1. $20days$
2. $28days$
3. $10days$
4. $16days$

Q.

A contractor estimates that $3$ persons could rewire Jasminder’s house in $4$ days.

If, he uses $4$ persons instead of three, how long should they take to complete the job?

Q. $12$ farmers harvest the crops in the field in $20$ hours. How many workers will be required to do the same work in $15$ hours

Q.

State True or False. A man completes 3/8 of a job in 12 days. At this rate, it will take 20 more days for him to finish the job.

1. 15

2. 10

Q. Akhil is running a marathon. He covered a distance of 15 km in 2 hours at a constant speed. Find the distance he would cover in the next 3 hours if he runs at the same speed.

1. 10 km
2. 2.5 km
3. 37.5 km
4. 22.5 km

Q.

Verify and name of the property used.

$5\times \left[\left(-20\right)\times 7\right]$

Q. Lisa took $\frac{2}{3}$ hours to complete her homework on Monday and took $\frac{5}{6}$ hours to complete her homework on Tuesday. For how many hours in total did she work on her homework?

1. $\frac{5}{6}$
2. $\frac{9}{6}$
3. $\frac{8}{5}$
4. $\frac{9}{5}$

Q. A train is moving at a speed of 120 kmph. What's the time taken to cover a distance of 600 kms?

1. 2 hours
2. 3 hours
3. 5 hours
4. 6 hours

Q. The cost of two tables and three chairs is $\$240$. If the cost of a table is $50\%$ more than the cost of a chair, then find the costs of one table and one chair.

1. $\$75,\$50$
2. $\$90,\$60$
3. $\$45,\$30$
4. $\$60,\$40$

Q. Two pipes $A$ and $B$ can fill a tank in $6$ hours and $4$ hours respectively. If they are opened on alternate hours and if pipe $A$ is opened first, then in how many hours, the tank shall be full?

1. $4\frac{1}{2}$
2. $4$
3. $5$
4. $5\frac{1}{2}$

Q.

A and B undertake to do a piece of work for Rs. 200. A alone can do it in 6 days and B in 8 days. With the help of C they finish it in 3 days. How much is paid to C?

1. Rs. 26

2. Rs. 27

3. Rs. 28

4. Rs.25

Q. Two pipes can fill a tank in $5$ and $10$ minutes respectively and a waste pipe can empty $4$ gallons per minute. All the three pipes working together can fill the tank in $20$ minutes. The capacity of the tank is:

1. $12$ gallons
2. $14$ gallons
3. $10$ gallons
4. $16$ gallons

Q. Which of the following bikes has the lowest speed?

1. Bike D that travels 400 miles in 10 hours
2. Bike C that travels 322 miles in 7 hours
3. Bike A that travels 270 miles in 6 hours
4. Bike B that travels 288 miles in 8 hours

Q. Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?

1. 73.17%
2. 71.11%
3. 68.54%
4. 75.55%

Q. In $1774$ the representatives of $12$ of $13$ colonies assembled at ___________ to decide the future course of action.

1. Philadelphia
2. Spain
3. Italy
4. France

Q.

X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. How many days does it take if all the three can work together?

1. 100 days

2. 150 days

3. 60 days

4. 80 days

Q.

Find the value of: $5x+3y-6zwhen,x=3,y=5,z=4$

1. 6

2. 5

3. 8

4. 9

Q. If 15 men can reap a field in 28 days; In how many days can 5 men reap it?

1. 20 days
2. 80 days
3. 84 days
4. 82 days

Q. $\frac{4}{11}+\frac{7}{11}=$ _____

1. $\frac{1}{1}$
2. $11$
3. $\frac{28}{22}$
4. $\frac{11}{22}$

Q.

State the property represented by the following.

$16\times (29-41)=16\times 29-16\times 41$

Q. Rafael boards a train to Michigan. The train is 1.5 miles long and runs at a speed of 10 miles per hour. If the train crosses the station in 30 minutes, find the station's length.

1. 3.5 miles
2. 7.5 miles
3. 4 miles
4. 2.5 miles

Q. Match the following.

1. b+a
2. (a+b)+c
3. (a×b)+(a×c)

Q. Working $5$ hours daily. Shaheed can embroider $3$ sarees in $21$ days. How many will it take for him to embroider $6$ sarees working $7$ hours daily?

Q. A man encashes a cheque of $Rs.600$ from a bank. The bank pays him money in $10$ rupee notes and $5$ rupee notes only, totalling $72.$ The ratio of the number of $10$ rupee notes to that of $5$ rupee notes is

1. $1:2$
2. $2:1$
3. $2:3$
4. $3:2$

Q. The power received from the solar panels is 2.5 $\times$${10}^2$watts per day. Which sign makes this statement true?
2.5x${10}^2$ 250.

1. <
2. >
3. =

Q. Raman is 30 minutes late for a meeting he was supposed to attend at 3:45 p.m. So, he reached the meeting hall at .

1. 4:00 p.m.
2. 3:15 p.m.
3. 4:15 p.m.

Q.

One$kg$ corn feed is enough for $4$ hens for $6$ days. If there are $8$ hens , how long can they last on this One $kg$of feed?