# On average how much time did each of the last 40 people spend doing voluntary work?

+1 vote
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30 charity workers gave an average of three hours of their time per month doing voluntary work.

With the success of the project, a further 40 volunteers were recruited and the average hours given per month by all the volunteers rose to eight.

On average how much time did each of the last 40 people spend doing voluntary work?

posted Nov 10, 2014

30 workers time taken be x
40 workers time taken be y
Acc to first condition
x/30 = 3
x=90
Acc to second condition
x+y/70=8
90+y/70=8
90+y = 560
y=470
So average of 40 volunteers will be 470/40 =47/4 = 11.75

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The text passage contains a series of similar mathematical word problems, each asking for the average time or amount spent by a group of people in a specific context. Each problem is followed by a solution.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# On average how much time did each of the last 40 people spend doing voluntary work?

+1 vote
100 views

30 charity workers gave an average of three hours of their time per month doing voluntary work.

With the success of the project, a further 40 volunteers were recruited and the average hours given per month by all the volunteers rose to eight.

On average how much time did each of the last 40 people spend doing voluntary work?

posted Nov 10, 2014

30 workers time taken be x
40 workers time taken be y
Acc to first condition
x/30 = 3
x=90
Acc to second condition
x+y/70=8
90+y/70=8
90+y = 560
y=470
So average of 40 volunteers will be 470/40 =47/4 = 11.75

Similar Puzzles

Over 25 weeks, a student trying to save up for a much wanted item only managed to put aside an average of £2 per week.

He then found a part-time job and after a total of 45 weeks his average savings rose to £9 per week.

How much did he save on average each week for the 20 weeks after getting the job?

+1 vote

Edward spent \$21 on drinks for a party. If the bottle of vodka he purchased was twice the price of the case of beer, and the lemonade was half the price of the beer.
How much did Edward spend on the beer?

30 people were given 10 quiz questions, they correctly answered an average of only three each.

After a further 30 people had answered the quiz, the average number of correct answers rose to six per person.

What was the average number of correct answers from each of the last 30 people only?

In a doctors' surgery the first 15 patients were only in the consulting room for an average of three minutes each.

After a further 30 people had seen their doctor, the average number of minutes spent in the consulting room increased to eight minutes per patient.

What was the average amount of time each of the last 30 patients spent in the consulting room?
user
The text passage contains a series of similar mathematical word problems, each asking for the average time or amount spent by a group of people in a specific context. Each problem is followed by a solution.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS