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Question 551689: Solve the following problem sets.
19. Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are they now?
20. The first stage of a rocket burns 28 seconds longer than the second stage. If the total burning time for both stages is 152 seconds, how long does each stage burn?
21. In a student election, 584 students voted for one or the other of two candidates for president. If the winner received 122 more votes than the loser, how many votes were cast for each candidate?
22. How many liters of a 10% solution of acid should be added to 20 liters of a 60% solution of acid to obtain a 50% solution?
23. Jim can row his boat upstream at four kilometers per hour, and downstream at six kilometers per hour (Jim is very strong). He rowed upstream a certain distance and then rowed back downstream to his starting point in one hour. How far did he row upstream?
24. A rectangular swimming pool measures 20 meters by 10 meters. How wide must a concrete walk around the pool be if the walk is to cover an area of 124 square meters?
25. A man is nine times as old as his son. In nine years, he will be only three times as old as his son. How old are each now?
26. I have $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quarters. How many dimes, and how many quarters, do I have?
27. I have balanced a weightless beam (there are a lot of them in physics), ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulcrum 1.5 meters from the 6kg mass. What is the unknown mass?
28. Bill can mow his mother's lawn in 6 minutes. His brother Jim can mow it in 9 minutes. How long will it take them to do it together, if each has his own lawn-mower.
29. The store sold twice as many apples in the afternoon than in the morning. During the whole day the store sold 360 kg of apples. How many apples did the store sell in the morning and in the afternoon?
30. Khalid gathered twice more peaches than Ahmed and Basheer gathered 2 kg of peaches more than Ahmed. Together they gathered 26 kg of peaches. How many kg of peaches did each of them gather?
31. Fatimah read two thirds (2/3) of a book. She calculated that she has read 90 more pages than the unread part of the book. How many pages are there in the book?
32. One of the sides of a rectangle is 3 cm shorter than the other side. If increasing each of the sides by 1 cm increases the area of the rectangle by 18 cm2, find the dimensions of the rectangle.
33. The distance between train stations A and B is 148 km. An express train, T1 leaves from station A to station B at a speed of 80 km/h. At the same time another train, T2 leaves station B from station A at a speed of 36 km/h. T1 makes a 10 min stop and T2 makes a 5 min stop before meeting each other at station C. What is the distance between station C and station B?
34. Towns A and B are 300 km apart. A train T1 leaves town A for town B at the same time that the train T2 leaves town B for town A. One of the trains is 10 km/h faster than the other. If after 2 hours the distance between the trains is 40 km, find the speed that each of the trains is traveling at.
35. Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.
36. A plane traveled 580 miles to Ankara and back. The trip there was with the wind. It took 5 hours. The trip back was into the wind. The trip back took 10 hours. Find the speed of the plane in still air and the speed of the wind.
37. Last week we got 3.5 inches of snow. Six-tenths of an inch melted before another storm added 8.3 inches. Since then we have lost 4.2 inches to melting or evaporation. How may inches of snow are left on the ground?
38. Emily cut two circles from a sheet of colored paper measuring 8” by 12”. One circle had a radius of 3 inches and the other had a radius of 2.5 inches. How many square inches of paper are left over? Is it possible to cut another circle with a 3 inch radius from the paper?
39. Ahmed said to Khalid “If you give me one riyal, then we will have equal money.” Khalid replied “If you give me one riyal, then I will have double the money you have!” What was the total money they had? How much did Ahmed have and how much did Khalid have?
40. The points A, B, C, D, and E are located on a straight line in order. The distance from A to E is 20cm. The distance from A to D is 15cm. The distance from B to E is 10cm. C is halfway between B and D. What is the distance from B to C?
41. The length of a rectangle is four times as long as its width. The area of the rectangle is 100 meters squared. What are the dimensions of the rectangle
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! One of the rules you should have read before posting is:
"One problem per submission. Do not dump your whole homework in one question."
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