Fabiola works for Greenpeace, and she can collect signatures supporting a new referendum 1.5 times faster than her colleague, Jaime. If they both collected 92 signatures in one hour, how many could Fabiola collect in one hour alone? Round your answer to the nearest whole number.

1 answer

Let's say Jaime collects x signatures in one hour.
If Fabiola can collect signatures 1.5 times faster than Jaime, she can collect 1.5x signatures in one hour.
If they both collected 92 signatures in one hour, their combined total is x + 1.5x = 92 signatures.
This simplifies to 2.5x = 92.
Dividing both sides by 2.5 gives x = 36.8.
Since we need to round to the nearest whole number, Fabiola can collect 1.5 * 36.8 = <<1.5*36.8=55.2>>55.2 signatures in one hour alone.
Rounding this to the nearest whole number gives Fabiola collecting approximately 55 signatures. Answer: \boxed{55}.