3.28 The tens digit of a two-digit number exceeds its units digit by 4. The number exceeds twice the number obtained by reversing the digits of the original number by 10. What is the original number? 3.29 There are 16 coins in a bank. If the coins are all nickels and dimes and they total $1.05, how many nickels are there? 3.30 George Washington was born 11 years before Thomas Jefferson. In 1770 Washington’s age was 3 more than 7 times the age of Jefferson in 1748. What was the sum of the two men’s ages in 1750? 3.31 The number 66 is written as the sum of two smaller numbers. One of these numbers is 3 more than twice the other number. Find the larger of the two numbers. 3.32 Four pounds of onions costs the same as 2 pounds of string beans. At the same time, 1 pound of string beans costs 3 times as much as a pound of potatoes, while 1 pound of onions costs 4 cents less than 2 pounds of potatoes. What is the total cost (without tax) of 1 pound of each of the vegetables? 3.33 Find two consecutive odd integers such that 1/3 the smaller plus twice the larger equals 7 more than the sum of the two numbers. 3.34 In a basketball game, the United State has four times as many points as Croatia. A Croatian make a basket for three points, at which point the United Sates only has three times as many points. How many points does the United States have? 3.35 Mike and Joey bought identical loaves of bread and packages of bologna. Mike made sandwiches with 5 slices of bologna and had 4 slices of bread left when he ran out of meat. Joey makes sandwiches with 4 slices of bologna and had 4 slices of eat when he ran out of bread. Each boy only started with one loaf, and each sandwich has two slices of brad. How many slices of brad were in each loaf? 3.36 Sue has $3.08 in pennies, nickels, and quarters. She has four more pennies than quarters and one more nickel than pennies. How many nickels does she have? 3.38 K takes 30 minutes less time than M to travel a distance of 30 miles. K travels 1/3 mile per hour faster than M. If x is K’s rate of speed in miles per hour, then find K’s time for the distance in terms of x. 3.39 What is the value of x if 1 minus the reciprocal of (1-x) equals the reciprocal of (1-x)? 3.40 A train traveling from A town to B town meets with an accident after 1 hour. The train is stopped for 30 minutes, after which it proceeds at four-fifths of its usual rate, arriving at B town 2 hours late. If the train had covered 80 miles more before the accident, it would have been just one hour late. What is the usual rate of the train? 3.41 3.41 Adam can do a job in 10 days, while Brenda takes 15 days to do it. After Brenda works alone for 3 days, Adam and Brenda work together to finish the job. How many days did Adam work? 3.42 A car travels 120 miles from A to B at 30 miles per hour returns the same distance at 40 miles per hour. What is the average speed for the round trip? 3.43 One car left a city at 2:00 PM and traveled at an average speed of 40 miles per hour. A second car left at 4:00 PM, traveled the same route and overtook the first car at9:00 P. What was the average speed in miles per hour of the second car? 3.44 A man can do a job in 9 days and his son can do the same job in 16 days. They start working together. After 4 days the son leaves and the father finishes the job alone. How many days does the man take to finish the job? 3.45 Twenty-five women did 1/5 of a job in 8 days. Then, because of an emergency, it became necessary to complete the job in the next 20 days. How many additional women needed to be added to the crew of 25 to accomplish this? 3.46 Two bicyclists are seven-eighths of the way through a mile-ling tunnel when a train approaches the closer end at 40 mph. The riders take off at tha same speed in opposite directions and each escapes the tunnel as the train passes them. How fast did they ride? 3.47 A train, x meters long, traveling at a constant speed, takes 20 seconds from the time it first enters a tunnel 300 meters long until the time it completely emerges from the tunnel. One of the stationary ceiling lights in the tunnel is directly above the train for 10 seconds. Fin x. 3.48 Two men starting at a point on a circular 1-mile racetrack walk in opposite directions with uniform speeds and meet in 6 minutes, but if they walk in the same direction, it requires one hour for the faster walker to gain l lap. What is the rate of the slower walker? 3.49 A crew of 30 people can build a certain road in 60 days. After the tenth day the plans are changed, .the Company wants the road build in 30, not 60, days. How many more people must be hired? |