Question

There are 200 questions on a 3 hr examination.among these questions are 50 mathematics problems.it is suggested that twice as much time be spent on each maths problem as for each other question.how many minutes should be spent on mathematics problems

Answer 1

Step-by-step explanation:

let the time taken for one question be x

then math question takes 2x

remaining questions otherthan math questions are 150

thentime taken for the remaining questions is 150x

time taken to solve math questions =50*2x=100x

100x+150x=10800s(3hr)

250x=10800s

x=250/10800=43.2

then time taken for math problems =43.2*50=2160s*2=4320s(72m)

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Answer 2

Concept:

We will calculate the individual subject wise question and then multiply it with respective time taken to complete it.

Given:

There are 200 questions on a 3 hr examination.  Among these questions are 50 mathematics problems.it is suggested that twice as much time be spent on each math's problem as for each other question

To Find:

Time spent on math's questions.

Solution:

No of maths question = 50

No of other questions = 150

Let the time spent on other question = x

∴Time spent on maths question = 2x

∴ time taken for the other questions = 150x

∴  time taken for math questions =50 × 2x=100x

As total time of exam is 3 hrs i.e. 180 minutes

100x+150x=180 min(3hr)

x = 0.72 min

Thus time taken for other  questions

t = 250 x 0.72 = 108 min

Thus time taken for math problems =180 -108 = 72mins

Thus, 72 mins is to be spent on mathematics problem.

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