Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?

Respuesta :

Answer:

36 passengers

Step-by-step explanation:

Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.

Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.

If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.

In 20 minutes, they can load

1.8 passengers/minute * 20 minutes = 36 passengers

It took both Maria and Sal 11.1 minutes to load 20 passengers

The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute

The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute

Let t represent the total time taken to load the 20 passengers, hence:

(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers

t + 0.8t = 20

1.8t = 20

t =  11.11 minutes

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