# FREE AMCAT Math Questions and Answers

#### John Clark and Mae begin their journeys at the same time, traveling at speeds of 40 and 50 kilometers per hour, respectively. If John takes 15 minutes longer to complete the route than Mae, then the total distance traveled is:

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#### The total of the two integers equals 184. If one-third of one surpasses one-seventh of another by 8, identify the smaller number.

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#### The ratio between the two integers is 4:5, and their L.C.M is 200. Then what is the sum of the two numbers?

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#### Find the area of the triangle with sides of 10 cm, 24 cm, and 26 cm.

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#### Ken borrowed $20,000 from his buddy Richard at 15% yearly simple interest and lent it to Mike at the same rate compounded annually. Find Ken's gain after two years.

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#### A nine-member family has an average age of 22 years. Carlo is the youngest, and he is six years old. What was the family's average age soon before Carlo was born?

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#### The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the final three is 70. What is the remaining number?

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#### When a specific sum is invested for ten years, the simple interest gained doubles. What rate of interest is being offered?

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#### A guy rows a boat at 15 mph on calm water. Determine the speed of the river if it takes him 4 hours and 30 minutes to paddle a boat to a location 30 miles distant and back.

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#### If 13x = 371293, find the value of 22x-1.

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#### Dion and Jane can finish a job in 72 hours; Jane and Lisa in 120 hours; and Dion and Lisa in 90 hours. What time can Dion do it on his own?

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