Home
Class 12
MATHS
If takes 4 friends 24 minutes to wash al...

If takes 4 friends 24 minutes to wash all the windows in Maria's house. The friends all work at the same rate. How long would it take 8 friends working at the same rate, to wash all the windows in Maria's house?

A

`48`

B

`20`

C

`12`

D

`8`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will analyze the work done by the friends and how the time taken changes with the number of friends working. ### Step-by-Step Solution: 1. **Identify the given information**: - 4 friends take 24 minutes to wash all the windows. 2. **Calculate the total work done in terms of friend-minutes**: - Total work = Number of friends × Time taken - Total work = 4 friends × 24 minutes = 96 friend-minutes. 3. **Determine the time taken by one friend to complete the work**: - If 4 friends take 24 minutes, then 1 friend would take: - Time taken by 1 friend = Total work / Number of friends - Time taken by 1 friend = 96 friend-minutes / 1 friend = 96 minutes. 4. **Calculate the time taken by 8 friends to complete the same work**: - Using the same total work (96 friend-minutes), the time taken by 8 friends would be: - Time taken by 8 friends = Total work / Number of friends - Time taken by 8 friends = 96 friend-minutes / 8 friends = 12 minutes. 5. **Conclusion**: - Therefore, it would take 8 friends 12 minutes to wash all the windows in Maria's house. ### Final Answer: It would take 8 friends 12 minutes to wash all the windows. ---
Promotional Banner

Topper's Solved these Questions

  • PROBLEM SETS

    PRINCETON|Exercise PROBLEM SET 8 CHARTS AND DATA|11 Videos

  • PROBLEM SETS

    PRINCETON|Exercise PROBLEM SET 9: EXPONENTS, ROOTS, AND EQUATIONS|11 Videos

  • PROBLEM SETS

    PRINCETON|Exercise PROBLEM SET 6: FRACTIONS, DECIMALS, AND PERCENTS|11 Videos

  • PRACTICE TEST 4

    PRINCETON|Exercise Math Test-Calculator|38 Videos

  • SAT MATH: THE BIG PICTURE

    PRINCETON|Exercise Example|4 Videos

Similar Questions

Explore conceptually related problems

12 pipes, all of the same size, fill a tank in 42 minutes. How long will it take to fill the same tank,if 21 pipes of the same size are used ?

6 men and 8 boys can do a piece of work in 7 days, while 8 men and 12 boys do the same work in 5 days. How long would it take one boy to finish the same work?

If 7 workers can assemble a car in 8 hours, how long would it take 12 workers to assemble the same car?

Two persons could fit new windows in a house in 3 days.(i) One of the persons fell ill before the work started. How long would the job take now?(ii) How many persons would be needed to fit the windows in one day?

Four workers can build a house in 9 days. How many days would it takes 3 workers to build the same house?

Laura can solve 6 math questions in 12 minutes. Working at the same rate, how many minutes would it take Laura to solve 5 math questions?

A hostel had provisions for 75 students for 30 days. After 6 days, 15 more students joined the hostel. How long would the remaining provisions last at the same rate for all the students ?

If Johnny can mow the lawn in 30 minutes and with the help of his brother, Bobby, they can mow the lawn 20 minutes, how long would it take Bobby working along to mow the lawn?

3 men and 4 boys can do a piece of work in 14 days, while 4 men and 6 boys can do it in 10 days. How long would it take 1 boy to finish the work?

Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?