# ALGEBRA WORD PROBLEMS FOR CLASS 6 WORKSHEET

Problem 1 :

Mrs. Saunders can clean the windows of her house in 3 hours. Her daughter can clean the windows in 6 hours. How long will it take them to clean the windows if they work together?

Solution

Problem 2 :

A driver can deliver his newspapers in 80 minutes. His friend can take care of the same route in 2 hours. How long would it take them to do the job together?

Solution

Problem 3 :

One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill it in 24 minutes. If the tank is empty how long will it take the three pipes, operating together, to fill it?

Solution

Problem 4 :

Two printing presses, working together, can complete a job in 2 hours. If one press requires 6 hours to do the job alone, how many hours would the second press need to complete the job alone?

Solution

Problem 5 :

One supplementary angle is 5 more than six times the other angle. What is the measure of each angle?

Solution

Problem 6 :

One complementary angles measures 18 less than five times the other angle. What is the measure of each angle?

Solution

Problem 7 :

If the perimeter of an equilateral triangle is 24 inches, find a side of the triangle.

Solution

Problem 8 :

Each of the equal sides of an isosceles triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the triangle.

Solution

Problem 9 :

The perimeter of a triangle is 73 inches. If the second side is 5 inches longer than twice the first side, and the third side is 4 inches less than three times the first side, how long is each side?

Solution

Problem 10 :

The length of a rectangle is three times the difference of the width and two. If the perimeter of the rectangle is 60 cm, what is the length of the rectangle?

Solution

Problem 11 :

A rectangular playground is enclosed by 440 feet of fencing. If the length of the playground is 20 feet less than 3 times the width, find the dimensions of the playground.

Solution

1)  It will take them 2 hours to finish when they work together.

2)  It would take them 48 minutes to do the job together.

3)  2 minutes

4)  So, second printing press needs 3 hours by itself.

5)  one angle = 155°, other angle = 25°

6)  18 and 72

7)  a = 8 in

8)  The sides of the triangle are 16 in, 64 in and 64 in.

9)  x = 12 in, 29 in, 32 in

10)  width = 9 cm, Length = 21 cm

11)  width = 60 feet, Length = 160 feet.

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