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Tunde and Shola can do a piece of work in 18 days. Tunde can...

Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x?

A.

x2 - 5x - 10 = 0

B.

x2 - 20x + 360 = 0

C.

x2 - 21x - 270 = 0

D.

3x2 - 65x + 362 = 0

Correct answer is C

Tunde and Shola can do the work in 18 days.

Both will do the work in 118 days.

But Tunde can do the whole work in x days; Hence he does 1x of the work in 1 day.

Shola does the work in (x + 15) days; hence, he does 1x+15 of the work in 1 day.

1x+1x+15=118

2x+15x2+15x=118

x2+15x=36x+270

x2+15x36x270=0

x221x270=0