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Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?
  • a)
    3 hours
  • b)
    3 hours 15 minutes
  • c)
    3 hours 30 minutes
  • d)
    3 hours 45 minutes
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Tushar takes 6 hours to complete a piece of work, while Amar completes...
Let them take x hours working together
1/x = 1/10 + 1/6 = 8/30
X= 30/8 hours = 15/4 hours = 3hours 45 minutes
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Most Upvoted Answer
Tushar takes 6 hours to complete a piece of work, while Amar completes...
Work done by Tushar and Amar

Let's assume that the total work to be done is represented by 1 unit.

Tushar takes 6 hours to complete the work, so his work rate is 1/6 units per hour.
Amar takes 10 hours to complete the work, so his work rate is 1/10 units per hour.

Work done when working together

When Tushar and Amar work together, their work rates add up. Therefore, the combined work rate when they work together is:

1/6 + 1/10 = (5 + 3) / 30 = 8/30 = 4/15 units per hour.

This means that when they work together, they can complete 4/15 units of work in 1 hour.

Time required to complete the work

To find the time required to complete the work, we can use the formula:

Time = Work / Rate.

In this case, the work to be done is 1 unit, and the combined work rate when Tushar and Amar work together is 4/15 units per hour.

Therefore, the time required to complete the work when they work together is:

Time = 1 / (4/15) = 15/4 = 3.75 hours.

Since 0.75 hours is equal to 45 minutes, the time required to complete the work when Tushar and Amar work together is 3 hours and 45 minutes.

Therefore, the correct answer is option D) 3 hours 45 minutes.
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Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?a)3 hoursb)3 hours 15 minutesc)3 hours 30 minutesd)3 hours 45 minutesCorrect answer is option 'D'. Can you explain this answer?
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