If the speed of X meters per second is equivalent to the speed of Y kilometers per hour...

BTGmoderatorLU wrote: ↑

Thu May 28, 2020 10:29 am

Source: GMAT Prep

If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer = 1000 meters)

A. 5x/18
B. 6x/5
C. 18x/5
D. 60x
E. 3,600,000x

The OA is C

So, we have X mps = Y kph

X mps = Y*1000 mph
X mps = Y*1,000/3,600 mps
X = 5Y/18

=> Y = 18X/5

The correct answer: C

Hope this helps!

-Jay
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BTGmoderatorLU wrote: ↑

Thu May 28, 2020 10:29 am

Source: GMAT Prep

If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer = 1000 meters)

A. 5x/18
B. 6x/5
C. 18x/5
D. 60x
E. 3,600,000x

The OA is C

Solution:

There are 3,600 seconds in an hour and 1,000 meters in a kilometer. So, let’s convert y kilometers/hour to meters/second:

We can start by converting y kilometers to meters.

y kilometers = 1,000y meters

Next, we can convert 1 hour to seconds.

1 hour = 3,600 seconds

Thus, y km/hr can be expressed as 1,000y/3,600 m/sec, or 5y/18 m/sec, after it’s simplified.

Since our two rates are equal, x = 5y/18. We need to solve this equation for y.

18x = 5y

18x/5 = y

Answer: C