Tag Archives: Rates

SAT/ACT problem of the week, December 15, 2016 solution

Hint for process of elimination: It can help you to draw boxes, where each box represents \dfrac{1}{2} hour. Write the number 20 in each box until you get to 150 pictures. Then just count boxes.

It will also help you to think intuitively about this problem. You know how time works, and you know what twenty doggy pictures looks like. Approximate. How many half hour time slots will it take to draw 150 doggies?

Read on for a full solution.

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SAT/ACT problem of the week, December 15, 2016

Miguelina draws 20 doggy pictures in \dfrac {1}{2} hour. At this rate, how many hours does it take to Miguelina to draw 150 doggy pictures?

  1. 0.067 (check answer)
  2. 3 (check answer)
  3. 3.75 (check answer)
  4. 5 (check answer)
  5. 75 (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on December 20th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, November 10, 2016 solution

Hint for process of elimination: In the vast majority of cases, the SAT problem creators are very careful to make solutions realistic. You may recognize 5 km, or 3.1 miles, to be the standard distance for a 5K, a very common race frequently ran or walked for charity or in local or school competition across the United States. A 5K can be run in 15 minutes for the fastest high school runners, or walked at a comfortable pace in less than one hour. Use this to eliminate the two answers that do not make sense.

Read on for a full solution.

Continue reading

SAT/ACT problem of the week, November 10, 2016

If Sophie can run 0.03 km in 0.12 minutes, in how many minutes can Sophie run 5 km?

  1. 0.15 (check answer)
  2. 20 (check answer)
  3. 33 \frac{1}{3} (check answer)
  4. 45 (check answer)
  5. 360 (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 16th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, September 01, 2016

The price of 10 gallons of diesel fuel at the local gas station is D dollars. There are 128 fluid ounces in one gallon, and there are 100 cents in one dollar. What is the price, in cents, of 1000 fluid ounces of diesel fuel?

  1. \dfrac{D}{1280} (check answer)
  2. \dfrac{5D}{64} (check answer)
  3. \dfrac{25D}{32} (check answer)
  4. \dfrac{625D}{8} (check answer)
  5. 100D (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on September 7th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, September 01, 2016 Solution

Hint for process of elimination: The problem asked for the price, in cents, of 1000 fluid ounces of diesel fuel. We are told in the problem, and you may also remember from science class, that there are 128 fluid ounces in one gallon. That means there are 1280 fluid ounces in ten gallons. 1000 ounces is a little less than ten gallons, but not much less. It follows that the price in dollars of the 1000 fluid ounces is a little less than D . Therefore, the price in cents of 1000 fluid ounces is a little less than 100D . The only answer with a coefficient of D that is close to but less than 100 is choice D.

Read on for a full solution.

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SAT problem of the week, December 15, 2014 solution

Hint for process of elimination: It can help you to draw boxes, where each box represents \dfrac{1}{2} hour. Write the number 20 in each box until you get to 150 pictures. Then just count boxes.

It will also help you to think intuitively about this problem. You know how time works, and you know what twenty doggy pictures looks like. Approximate. How many half hour time slots will it take to draw 150 doggies?

Read on for a full solution.

Continue reading

SAT problem of the week, December 15, 2014

Miguelina draws 20 doggy pictures in \dfrac {1}{2} hour. At this rate, how many hours does it take to Miguelina to draw 150 doggy pictures?

  1. 0.067 (check answer)
  2. 3 (check answer)
  3. 3.75 (check answer)
  4. 5 (check answer)
  5. 75 (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on December 20th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT problem of the week, November 10, 2014 solution

Hint for process of elimination: In the vast majority of cases, the SAT problem creators are very careful to make solutions realistic. You may recognize 5 km, or 3.1 miles, to be the standard distance for a 5K, a very common race frequently ran or walked for charity or in local or school competition across the United States. A 5K can be run in 15 minutes for the fastest high school runners, or walked at a comfortable pace in less than one hour. Use this to eliminate the two answers that do not make sense.

Read on for a full solution.

Continue reading

SAT problem of the week, November 10, 2014

If Sophie can run 0.03 km in 0.12 minutes, in how many minutes can Sophie run 5 km?

  1. 0.15 (check answer)
  2. 20 (check answer)
  3. 33 \frac{1}{3} (check answer)
  4. 45 (check answer)
  5. 360 (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 16th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.