Question

These questions are based on the data given below. A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$ If the total number of questions is 22 , how many English questions can be answered in 18 minutes? (A) 8 (B) 10 (C) 11 (D) 9

Name: Problem 20, Chapter 2: Computer Science and Information Technology
Uploaded: 2025-09-05T21:26:42-08:00
Duration: 2 min 11 s
Channel: James Kiss

   These questions are based on the data given below.
A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$
If the total number of questions is 22 , how many English questions can be answered in 18 minutes?
(A) 8
(B) 10
(C) 11
(D) 9

Computer Science and Information Technology

Trishna Knowledge… 2018 Edition

Chapter 2, Problem 20

Instant Answer

Solved by Expert James Kiss

09/05/2025

Step 1

Also, let's denote the time required to solve each English question as $X$. Therefore, the time required to solve each Mathematics question is $2X$. Show more…

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These questions are based on the data given below. A test of 60 minutes contains questions on Mathematics and English only. The time taken to solve a Mathematics question is twice the time taken to answer an English question and the ratio of time taken to solve all Mathematics questions to time taken to answer all English questions is $8 / 7 .$ If the total number of questions is 22 , how many English questions can be answered in 18 minutes? (A) 8 (B) 10 (C) 11 (D) 9

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Key Concepts

Ratios and Proportions

This concept involves comparing two quantities using a fraction or quotient, allowing the establishment of relationships between different components of a problem. It is essential for understanding how one quantity relates to another, which helps in setting up the basis for further algebraic manipulation.

Systems of Equations

This key concept refers to creating and solving multiple equations simultaneously to find unknown variables. In problems where several relationships are provided, forming a system of equations allows one to incorporate all conditions and find a consistent solution.

Unit Rates

This concept involves determining the value or time associated with a single unit of a given quantity. It simplifies complex problems by reducing them to basic per-unit comparisons that can then be scaled as needed based on the total quantity or available time.

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