Question

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 10 hours to complete the task. If Group B were to do it alone it would take them 15 hours. The groups decided to work together. Group B took a break for 1 hour and 40 minutes. Group A ended up making 300 more flowers than Group B. HOW MANY FLOWERS ARE THERE ALTOGETHER?

Answer 1

Answer: There are 1500 flowers altogether.

Explanation:

Since we have given that

Time taken by Group A to complete the task = 10 hours

Time taken by Group B to complete the task = 15 hours

But Group B took a break for 1 hour and 40 minutes, and Group B ended up making 300 more flowers than Group B. Group A done extra work for 1 hour 40 minutes. i.e.

`1(40)/(60)\\\\1(4)/(6)\\\\=1(2)/(3)\\\\=(5)/(3)\\\\\text{Group A  has done}=(5)/(3)* (1)/(10)=(1)/(6)`

Let the total number of flowers altogether they made be 'x'.

According to question,

`((x)/(10)+(x)/(6))-(x)/(15)=300\\\\(3x+5x-2x)/(30)=300\\\\(6x)/(30)=300\\\\(x)/(5)=300\\\\x=300* 5=1500`

Hence, there are 1500 flowers altogether.