Question

Please hurry
I only have about 77:25 remaining

Answer 1

Given that Phil takes 3 times as long as Meredith to complete the work . Let us take Meredith takes x hrs to complete the work, the Phil will do that work in 3x hrs . Now it is given that they together complete the work in 12hrs . So ,

`\longrightarrow (1)/(x)+(1)/(3x)=(1)/(12)\\`

`\longrightarrow (3+1)/(3x)=(1)/(12) \\`

`\longrightarrow (4)/(3x)=(1)/(12)\\`

`\longrightarrow x =((4)(12))/(3)\\`

`\longrightarrow x = 16\ hrs`

Hence,

• Time taken by Meredith to complete the work alone= x = 16hrs
• Time taken by Phil to complete the work alone= 3x = 48hrs

And we are done!