At the Rate of m Meters Per s Seconds, How Many Meters Does a Cyclist GMAT Problem Solving

Question: At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?

  1. m/sx
  2. m/xs
  3. 60m/sx
  4. 60m s/x
  5. 60 m s/x

“At the rate of m meters per s seconds, how many meters does a cyclist”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Review: The Official Guide”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:
Approach Solution 1:
To find the original rate, which is m metres per every s seconds, or m/s metres per second.

Since the number of seconds in a minute is 60, while we don't know how many seconds s is, we do know that to convert the rate in seconds to the rate in minutes we multiply by 60.

So, the rate per minute is 60 m/s.
So, in x minutes, the cyclist will travel x * 60m/s = 60xm/s

Correct Answer: E

Approach Solution 2:
x minutes = 60x seconds
s seconds go m metres
60x seconds go by ( m×60x) /s metres
= 60mx/s metre

Correct Answer: E

Approach Solution 3:
speed = distance/time = m/s (measured in metres per SECOND)

Since the speed is measured in metres per second, we convert the time (x minutes) to SECONDS.
x minutes = 60x SECONDS (e.g., 2 minutes = (60)(2) seconds
distance = (rate)(time) = (m/s)(60x) = 60mx/s

Correct Answer: E

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