Question

The baking time of a cake is $\frac{2}{5}$ of an hour for each pound. What time should you start baking a cake that weighs $\frac{13}{6}$ pounds so that it is done at 6:00 P.M.?

• A. 6:26 P.M
• B. 6:02 P.M.
• C. 4:56 P.M.
• D. 5:08 P.M.

Answer 1

The correct option is D 5:08 P.M.

Given:
To bake a cake of 1 lb, time taken $=\frac{2}{5}h=\frac{2}{5}\times 60=24min$

So, to bake a cake that weighs $\frac{13}{6}$ lb, time taken $=\frac{13}{6}\times 24=52min$

So, the baking should be started 52 min before 6:00 P.M.
6:00 P.M. can be represented as 5 h 60 min. So the baking should be started at 5 h (60 - 52) min or 5 h 08 min.

So, the baking should start at 5:08 P.M.