Relation for Inverse Proportion

Q.

$A$ and $B$ can together finish a work in $30$ days. They worked together for $20$ days and then $B$ left. After another $20$ days, $A$ finished the remaining work. In how many days $A$ alone can finish the job?

1. $40$

2. $54$

3. $60$

4. $59$

Q. Question 05.
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

Q.

In a Fort, 300 soldiers had of food provision for 90 days. after 20, days 50 soldiers left the Fort. how long would the last at the same rate?

Q.

In a flight of $2800km,$ an aircraft was slowed down due to today's weather. It's average speed for the trip was reduced by $100km/$hour and the time increased by $30$ minutes. Find the original duration of the flight.

Q.

Ravi starts for his school at $8:20$ am on his bicycle. If he travels at a speed of $10$ km/h then he reaches his school late by $8$ minutes but on traveling at $16$ km/h, he reaches the school $10$ minutes early. At what time does school start?

Q.

What We Say A Group Of Cards.

Q.

A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance ?

Q.

6 pipes fill a tank in 120 minutes, then 5 pipes will fill it in

(a) 100 min (b) 144 min

(c) 140 min (c) 108 min

Q.

A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, 15 boxes are required.

1. True

2. False

Q. Question 03.
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
$\begin{array}{cccccc}No.ofspokes& 4& 6& 8& 10& 12\\ Anglebetweenapairofconsecutivespokes& {90}^{\circ }& {60}^{\circ }& \dots & \dots & \dots \end{array}$


(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is ${40}^{\circ }$ ?

Q.

4 men or 5 women can construct a wall in 82 days. How long will it take for 5 men and 4 women to do the same?

Q.

Two persons could fit new windows in the house in $3$ days.

(i) One of the persons fell ill before the work started. How long would the job take now?

(ii) How many persons would be needed to fit the windows in one day?

Q. Question 04.
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

Q.

In a camp, there are 120 students for whom the food provision is made for 20 days. How long will these provisions last , if 30 more students join the camp?

Q.

A car is travelling at a uniform speed of $75$ km/hr. How much distance will it cover in $20$ minutes ?

(a) $25$ km (b) $15$ km (c) $30$ km (d) $20$ km

Q.

What is reduced pressure in thermodynamics?

Q.

A farmer has enough food to deed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle ?

Q. The provision for food in a hostel is enough to feed 150 men for 45 days. After 10 days, 25 men left the hostel. Then, the food will last for days.

1. 42
2. 38
3. 40
4. 44

Q. If 15 men can do a work in 12 days, how many men will do the same work in 6 days?
[2 marks]

Q.

Question 2

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
(a) 12 and 5
(b) 15 and 4
(c) 25 and 2.4
(d) 45 and 1.3

Q. A tap A can fill a cistern in 4 hours and the tap B can empty the full cistern in 6 hours. If both the taps are opened together in the empty cistern, in how much time will the cistern be filled up?

Q. Some chocolates were distributed among a group of 12 children and each child received 4 chocolates. If four more children joined the group later, and were given chocolates, how many chocolates less will each child in the original group receive?

1. 3 chocolates
2. 2 chocolates
3. 1 chocolate
4. 4 chocolates

Q.

Raghu has enough money to buy 75 machines worth Rs. 200 each.
How many machines can he buy if he gets a discount of Rs. 50 on each machine ?

Q.

Question 78 (i)

IF a and b vary inversely to each other, then find the values of p, q, r

Q.

Question 32

If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.

Q.

In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel. How long will these provisions last ?

Q. 4 men take 6 days to repair a road. How long will it take if 8 men do the job at same rate?

1. 3 days
2. 4 days
3. 6 days
4. 8 days

Q. If 5 person can finish a job in 10 days then in how many days will 15 persons finish the same job?

Q. Water tank has three inlets, which independently can fill the tank in 20, 40, 30 minutes, respectively . How much time does it take to fill the tank when all work together.

Q.

If 15 men can finish a job in 48 hours, how many men will be required to do the same job in 30 hours?

1. 24 men

2. 18 men

3. 12 men

4. 5 men