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24 votes
Tiana takes two hours to complete a task

Elena takes three hours to complete the same task

How long will it take for Tiana and elena to complete the task if they work together

User Liki Crus
by
5.6k points

1 Answer

10 votes

Answer:

1 1/5 hours

Explanation:

Tiana takes two hours to complete a task

Elena takes three hours to complete the same task

How long will it take for Tiana and elena to complete the task if they work together

This is calculated as:

1/2+ 1/3 = 1/T

Lowest common denominator = 6

Hence:

3 + 2/6 = 1/T

5/6 = 1/T

Cross Multiply

5T = 6

T = 6/5

T = 1 1/5 hours

User Alex Metelkin
by
4.8k points