Buster Leaves the Trailer at Noon and Walks Towards the Studio at a Constant Rate of B Miles Per Hour.

Question: I Buster leaves the trailer at noon and walks towards the studio at a constant rate of B miles per hour. 20 minutes later, Charlie leaves the same studio and walks towards the same trailer at a constant rate of C miles per hour along the same route as Buster. Will Buster be closer to the trailer than to the studio when he passes Charlie?

1) Charlie gets to the trailer in 55 minutes.
2) Buster gets to the studio at the same time as Charlie gets to the trailer.

“Buster leaves the trailer at noon and walks towards the studio at a constant rate of B miles per hour. 20 minutes later, Charlie leaves the same studio and walks towards the same trailer at a constant rate of C miles per hour along the same route as Buster. Will Buster be closer to the trailer than to the studio when he passes Charlie? ”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Considering statement (1), we will get:

Charlie gets to the trailer in 55 minutes.

But no information is provided regarding the Buster.

Not Sufficient

Considering statement (2), we will get:

Buster gets to the studio at the same time as Charli gets to the trailer. Charlie needed 20 minutes less than Buster to cover the same distance, which means that the rate of Charlie is higher than that of Buster. Since after they pass each other, they need the same time to get to their respective destinations (they get at the same time to their respective destination) then Buster had less distance to cover ahead (at lower rate) than he had already covered (which would be covered by Charlie at higher rate).

Hence, this is Sufficient.

Correct Answer: B

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