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Geeta can assemble a toy in 10 minutes, whereas Sudha can assemble the same toy in 15 minutes. If they work together, how much time will they take to assemble 60 toys?

Geeta can assemble a toy in 10 minutes, whereas Sudha can assemble the same toy in 15 minutes. If they work together, how much time will they take to assemble 60 toys? Correct Answer 6 hours

Given:

Geeta can assemble a toy in 10 minutes.

Sudha can assemble the same toy in 15 minutes.

Concept used:

Entire work = Work done in each minute × Time taken (in minutes)

Calculation:

LCM (10,15) = 30

Let the entire work (making a toy) be the LCM of the time taken by Geeta & Sudha.

So, the entire work =  30 units

Geeta does in a minute = 30 ÷ 10 = 3 units of work

Sudha does in a minute = 30 ÷ 15 = 2 units of work

Time taken to finish the entire work together = 30 ÷ (3 + 2) = 6 minutes 

So, time taken to make 60 toys together = 6 × 60 = 360 minutes = 6 hours

∴ If they work together, they will take 6 hours to assemble 60 toys.

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