Class 6 Exam > Class 6 Questions > A watch gains uniformly. This clock is 5 min ...
Start Learning for Free
A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps?
Most Upvoted Answer
A watch gains uniformly. This clock is 5 min slow at 8:00am in the mor...
To find out when the watch was correct, we need to determine the rate at which it gains time.
Step 1: Calculate the time gained per day
The watch is 5 minutes slow at 8:00 am on Sunday and 5 minutes 48 seconds fast at 8:00 pm on the following Sunday.
From 8:00 am on Sunday to 8:00 pm on the same day, there are 12 hours or 720 minutes.
Therefore, the watch gains 5 minutes in 720 minutes, which is equivalent to 5/720 = 1/144 of a minute per minute.
Similarly, from 8:00 pm on Sunday to 8:00 pm on the following Sunday, there are 7 days or 168 hours or 10080 minutes.
The watch gains 5 minutes 48 seconds, which is equivalent to 348/10080 of a minute per minute.
Step 2: Calculate the time gained per minute
To find the rate at which the watch gains time per minute, we can subtract the initial time gained per day from the final time gained per day.
(348/10080) - (1/144) = (348 - 70) / 10080 = 278/10080 = 139/5040 of a minute per minute.
Step 3: Calculate the time required to gain 5 minutes
To find out when the watch was correct, we need to determine how long it takes for it to gain 5 minutes.
Let's assume the watch was correct x minutes after 8:00 am on Sunday.
The time gained from 8:00 am on Sunday to x minutes after 8:00 am on Sunday is (x/144) minutes.
The time gained from x minutes after 8:00 am on Sunday to 8:00 pm on the following Sunday is ((10080 - x)/5040) minutes.
Adding these two times together, we get:
(x/144) + ((10080 - x)/5040) = 5
Simplifying the equation:
5040x + 144(10080 - x) = 5 * 144 * 5040
5040x + 144 * 10080 - 144x = 5 * 144 * 5040
5040x - 144x = 5 * 144 * 5040 - 144 * 10080
4896x = 5 * 144 * 5040 - 144 * 10080
x = (5 * 144 * 5040 - 144 * 10080) / 4896
x = 10080
Step 4: Determine the day and time
The watch was correct 10080 minutes or 7 days after 8:00 am on Sunday.
Therefore, it was correct at 8:00 am on the following Sunday.
Conclusion:
The watch was correct at 8:00 am on the following Sunday.
Step 1: Calculate the time gained per day
The watch is 5 minutes slow at 8:00 am on Sunday and 5 minutes 48 seconds fast at 8:00 pm on the following Sunday.
From 8:00 am on Sunday to 8:00 pm on the same day, there are 12 hours or 720 minutes.
Therefore, the watch gains 5 minutes in 720 minutes, which is equivalent to 5/720 = 1/144 of a minute per minute.
Similarly, from 8:00 pm on Sunday to 8:00 pm on the following Sunday, there are 7 days or 168 hours or 10080 minutes.
The watch gains 5 minutes 48 seconds, which is equivalent to 348/10080 of a minute per minute.
Step 2: Calculate the time gained per minute
To find the rate at which the watch gains time per minute, we can subtract the initial time gained per day from the final time gained per day.
(348/10080) - (1/144) = (348 - 70) / 10080 = 278/10080 = 139/5040 of a minute per minute.
Step 3: Calculate the time required to gain 5 minutes
To find out when the watch was correct, we need to determine how long it takes for it to gain 5 minutes.
Let's assume the watch was correct x minutes after 8:00 am on Sunday.
The time gained from 8:00 am on Sunday to x minutes after 8:00 am on Sunday is (x/144) minutes.
The time gained from x minutes after 8:00 am on Sunday to 8:00 pm on the following Sunday is ((10080 - x)/5040) minutes.
Adding these two times together, we get:
(x/144) + ((10080 - x)/5040) = 5
Simplifying the equation:
5040x + 144(10080 - x) = 5 * 144 * 5040
5040x + 144 * 10080 - 144x = 5 * 144 * 5040
5040x - 144x = 5 * 144 * 5040 - 144 * 10080
4896x = 5 * 144 * 5040 - 144 * 10080
x = (5 * 144 * 5040 - 144 * 10080) / 4896
x = 10080
Step 4: Determine the day and time
The watch was correct 10080 minutes or 7 days after 8:00 am on Sunday.
Therefore, it was correct at 8:00 am on the following Sunday.
Conclusion:
The watch was correct at 8:00 am on the following Sunday.
Attention Class 6 Students!
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.
|
Explore Courses for Class 6 exam
|
|
Similar Class 6 Doubts
Top Courses for Class 6View all
A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps?
Question Description
A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps?.
A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps?.
Solutions for A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? defined & explained in the simplest way possible. Besides giving the explanation of
A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps?, a detailed solution for A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? has been provided alongside types of A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? theory, EduRev gives you an
ample number of questions to practice A watch gains uniformly. This clock is 5 min slow at 8:00am in the morning on Sunday and it is 5min 48sec fast at 8:00pm on the following Sunday. When was it correct? a. 20min past 7pm on Tuesday b.20 min past 7pm on Wednesday c.42min past 8pm on Wednesday d.32min past 4pm on Thursday Explain with steps? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup