Unitary Method for Time and Work

Q. X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 4800. With the help of Z, they completed the work in 3 days. How much is Z’s share?

1. ₹ 280
2. ₹ 300
3. ₹ 600
4. ₹ 740

Q.

For which of these would you use a histogram to show the data? Give reason

1. The number of letters for different areas in a postman’s bag

2. The height of competitors in an athletics meet

3. The number cassettes produced by $5$ companies

4. The number of passengers boarding trains from $7:00\mathrm{AM}$ to $7:00\mathrm{PM}$ at a station

Q. A soap factory produces 9600 soaps in 6 days working 15 hours a day. In how many days will it produce 14400 soaps working 3 more hours a day?

1. 6
2. 7.5
3. 9
4. 10.5

Q. If Abid works for 8 hours a day, he can complete his work in 6 days. How many hours a day should he work if he wants to finish his work in 4 days?

1. 6 hours
2. 8 hours
3. 9.6 hours
4. 12 hours

Q.

James can do a piece of work in 25 days and Kishan can finish it in 20 days. They work together for 5 days and then James leaves. In how many days will Kishan finish the remaining work?

1. 10 days

2. 12 days

3. 11 days

4. 13 days

Q. A soap factory produces 9600 soaps in 6 days working 15 hours a day. In how many days will it produce 14400 soaps working 3 more hours a day? (5 marks)

Q. If 35 workers can build a house in 16 days, then it takes---------- days for 28 workers working at the same rate to build the same house. (2 marks)

Q. Do as indicated in the following statement:
The teacher said to the students, "Why are you not doing your homework?"
(Change into indirect speech) [Intermediate]

Q.

To finish the work in less time, I would need more workers.

1. True

2. False

Q.

A, B and C can do a piece of work in 80 days. If A is twice as efficient as B who is twice as efficient as C, then in how many days C alone takes to complete the work?

1. 480

2. 360

3. 560

4. 600

Q.

Akbar can finish a work in 20 days and Surya can finish the same work in 80 days. If Surya and Akbar both work together, then find the total number of days taken by them to complete the work.

1. 12

2. 14

3. 16

4. 18

Q. If 35 workers can build a house in 16 days, then it takes days for 28 workers working at the same rate to build the same house.

1. 20
2. 28
3. 30

Q. If 8 workers can build a wall in 10 days then match the number of workers with the number of days.

1. 20 days
2. 40 days
3. 16 days
4. 8 days

Q. If the amount of work completed by ‘A’ in one day is $\frac{1}{n}$ then the entire work will be completed by ‘A’ in 2n days.

1. True
2. False

Q.

It takes 5 men 5 hours to build 5 cars. How many hours does it take for 20 men to build 20 cars?

1. 5 Hours

2. 20 Hours

3. 1 Hour

4. 4 Hours

Q.

A and B together complete a piece of work in 15 days. They both started working together, but after 6 days B fell ill, so A took 30 more days to complete the work alone. How long will B take to complete the work alone?

1. 21 days

2. 20 days

3. 26 days

4. 23 days

Q. 16 workers take 48 hrs to build a wall. 4 of them left. more are needed to complete the work in 32 hours.

1. 10
2. 12
3. 13
4. 26

Q. Riyaz and Preethi can do a work in 4 and 5 days respectively. By working together, they have completed the work. If the share Riyaz got for the work is $₹$35. Find the total money given to them.

1. $₹$65
2. $₹$73
3. $₹$63
4. $₹$70

Q.

The are 16 workers working to construct a wall and it will take 48 hours to build it. But due to some accident, 4 workers injured and left. Now, the contractor wants the wall to be built in 32 hours. How many more workers are required to complete the job?

1. 13

2. 26

3. 10

4. 12

Q. Two persons could fit new windows in a house in 3 days.
How many persons would be needed to fit the windows in one day?