Time and Work

Q.

$\frac{2}{5}$ of the total number of students of a school come by car while $\frac{1}{4}$of students come by bus to school. All the other students walk to school of which $\frac{1}{3}$walk on their own and the rest are escorted by their parents. If $224$ students come to school walking on their own, how many students study in that school?

Q.

How many seconds are there in a year?

Q.

Meena went to a bank to withdraw $\mathrm{Rs}.2000$. She asked the cashier to give her $\mathrm{Rs}.50$ and $\mathrm{Rs}.100$ notes only. Meena got $25$notes in all. Find how many notes of $\mathrm{Rs}.50$ and $\mathrm{Rs}.100$ she received.

Q.

A box contains $Rs.56$ in the form of coins of one rupee, $50$ paise and $25$ paise. The number of $50$ paise coins is double the number of $25$ paise coins and four times the number of one rupee coins.
How many $50$ paise coins are their in the box ?

Q. In a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 if the married men have children, what part of workers are without children?

Q. A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds and crosses the man in 8 seconds. Find the length of the train. [4 MARKS]

Q.

A hostel has ration for 60 days for 500 students. After 12 days 300 more students joins the hostel. How long will the same ration last?

Q. A certain number of men can finish a piece of work in 100 days. If how ever, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ? [4 MARKS]

Q.

Sachin scored twice as many runs as Rahul. Together their runs fell two short of a century.How many runs did each one score?

Q.

A man travelled ¾ of his journey by bus 1\5 by taxi and remaining 5km on foot . Find the total distance of his journey.

Q.

A labourer is engaged for 20 days on the condition that he will receive 120rupees each day and will be fined rupees10 each day if he is absent .If he receives 1880 how many days was he absent?

Q.

Measure the time it takes you to walk from your house to school. If you consider your walking speed km/hr. find the distance between your house and school.

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.25
2. Rs. 26
3. Rs. 27
4. Rs. 28

Q. Three taps A, B and C can fill a tank in $12,15$ and $20$ hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in.

1. $7\frac{1}{2}$ hours
2. $6$ hours
3. $7$ hours
4. $6\frac{2}{3}$hours

Q. If 20 men can consume a certain quantity of rice in 14 days in how many days will 8 men consume the same quantity of rice

Q.

$500$ soldiers in a fort had enough food for $30$ days. After $6$ days some soldiers were sent to another fort and thus food lasted $32$ more days. How many soldiers were left the fort?

Q. Question 11
The students of Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition? $[Assume\pi =\frac{22}{7}]$

Q.

A tanker contains $500\mathrm{litres}$ of water. Due to a small hole in the tanker, the quantity of water is decreasing at the rate of $9\mathrm{litres}$ every hour. What will be the quantity of water left in the tank after $10\mathrm{hours}?$

Q.

8men complete a work in 6hrs. In how many hrs will 12men complete the work.

Q.

If the numerator of a fraction is increased by 400% and denominator is increased by 300% then the resultant fraction is 20/17. What was the original fraction?

Q.

The number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together is

1. 1260

2. 360

3. 1620

4. 900

Q.

Question 32

The number of days in 'W' weeks is ___ .

Q.

A and B can complete a work together in 24 days. If for the last 6 days, A alone does the work, then the work is completed in 26 days. Find the number of days B will take to complete the work alone?

1. 67 days

2. 70 days

3. 72 days

4. 36 days

Q.

How long does it take for light from the sun to reach earth approximately?

1. 8 minutes

2. 24 hours

3. Instantaneous

4. 1 minute

Q.

In a computer lab, there are $3$ computers for every $6$ students. How many computers will be needed for $24$ students?

Q. A and B can do a piece of work in $12$ days, B and C in $15$ days while A and C can do in $20$ days. In what time C alone can complete the work?

Q.

If 15 men can reap a field in 28 days; in ___ days, 5 men can reap it.

Q.

A person on tour has $₹4200$ for his expenses. If he extends his tour for $3$ days, he has to cut down daily expenses by $₹70$. Find the original duration of the tour.

Q. An NCC camp has food for 400 cadets for 25 days. If 150 cadets are shifted to some other camp, then for how many days will the food last?

Q.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days then the fraction of the work that is left is:

1. $\frac{7}{15}$

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

3. $\frac{1}{10}$

4. $\frac{8}{15}$