Bunuel
A bicycle rider rides four stages of a race in 2 hours and 45 minutes. The four stages are named with four different colors: blue, yellow, red, and white. What is the rider’s average speed for the whole race?
(1) The red and blue stages combined are 55 miles long.
(2) The blue and yellow stages combined are 42 miles long.
Kudos for a correct solution.
PRINCETON REVIEW OFFICIAL SOLUTION:Before looking closely at the statements, we should consider the question and determine what we’re looking for. The question asks for an average speed, so this is a question about rates and we should write down the rate formula: Rate = Distance / Time. The time is given to us, so the only thing we need to know in order to find the rate is the distance. That’s the missing piece of this puzzle. This means that when we turn to the statements we’re no longer thinking about rate, we’re thinking about distance. If the statement allows us to find the total distance of the race then it is sufficient. If not, it’s insufficient.
Statement 1 tells us the combined distance of two of the stages, but that isn’t enough to know the distance of the whole race. Thus Statement 1 is insufficient.
Statement 2 also tells us the combined distance of only two stages, and is therefore insufficient for the same reason as Statement 1.
When we combine the statements we have to be a bit careful. It may seem that now we have all four stages, but in fact the blue stage was mentioned twice, and nowhere do we have any information about the white stage.
There is no way to know the total distance of the race, and
the answer is (E).