Question

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 ques-
tion and the ratio of time taken to solve all Mathematics
questions to time taken to answer all English questions
is 8/7.
19. What is the ratio of the number of English questions to
that of Mathematics?
(A) 11/7
(B) 7/4
(C) 9/4
(D) 7/5​

Answer 1

Answer:

Step-by-step explanation:

Let x=time taken to solve 1math question

y=time taken to solve 1english question

So,ATQ x=2y

Let A=total number of maths questions.

B=total number of english questions.

So, Ax/By=8/7

7Ax=8By

14Ay=8By, (x=2y)

So,A=4B/7

So, ratio of total number of english questions to total number of maths question,

B/A= B/(4B/7)=7/4

i•e, B:A=7:4

Answer 2

Answer:

7/4

Step-by-step explanation:

Given Total time of test = 60 mins

Let M = Time taken for maths questions and E = Time taken for English questions

Given M / E = 8 / 7

15x = 60

Hence x = 4.

Now M = 8*4 = 32 mins and E = 7*4 = 28 mins

Let m = no of maths qns and e = no of english qns

Also given, Time taken per question of maths = 2 * Time taken per question of English

32/m = 2 * (28/e)

e/m = 7 / 4

Another way of arriving at required ratios.