Cessantasudaidn
Answered

IDNStudy.com, ang iyong destinasyon para sa maaasahan at pangkomunidad na mga sagot. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

A girl, A, took 5 hours to paint a wall. Her friend, B, took twice as much time as A to paint a wall of the same dimensions. How long would the task have taken the girls if they had worked together?

Sagot :

Number of hours to finish the task if the friends worked together: x
Number of hours for Friend A to finish the task: 5
Number of hours for Friend B to finish the task:  2(5) = 10

Equation for Combined Work (task):
1/5 + 1/10 = 1/x

LCM (Least Common Multiple): 10x

Multiply each term by 10x, then simplify:
(10x)(1/5) + (10x)(1/10) = (10x)(1/x)
2x + x = 10
3x = 10
3x/3 = 10/3
x = 10/3   or  3 ¹/₃ hours

ANSWER: It would take 3 ¹/₃ hours for the two friends to finish the task of painting the wall of the same dimensions.


Ang iyong presensya ay mahalaga sa amin. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong lumikha ng isang komunidad ng karunungan at pagkatuto. Para sa mga de-kalidad na sagot, piliin ang IDNStudy.com. Salamat at bumalik ka ulit sa aming site.