Algebra Puzzle – Challenge 43

Challenge:

David can finish a job in 54 days. Peter is \(35\%\) faster than David. How long does it take Peter to finish the same job?

A- 38

B- 40

C- 44.2

D- 50

E- 52

The Absolute Best Book to Challenge Your Smart Student!

Peter is \(35\%\) faster than David. Therefore, when David finishes a job, Peter finishes 1.35 of the same job.
Let’s assume that David prepares 54 units in 54 days. Then, Peter can prepares 54 × 1.35 = 72.9 units in the same time.
Now, how long does it take Peter to prepare 54 units?
\(\frac{54}{x} = \frac{72.9}{54} ⇒ x = 40\)
It takes Peter 40 days to finish the same job.

The Absolute Best Books to Ace Algebra