Final answer:
The tanker has been filling the reservoir for approximately 0.0289 minutes or 1.7 seconds.
Step-by-step explanation:
The tanker truck fills the gas station reservoir at a rate of 1212 gallons per minute. We are given that the reservoir was empty and it is now 35 gallons full. To find out how long the tanker has been filling the reservoir, we can set up a proportion:
1212 gallons / 1 minute = 35 gallons / x minutes
Cross multiplying, we get:
1212x = 35
Dividing both sides by 1212, we find that x is approximately 0.0289 minutes or 1.7 seconds. Therefore, the tanker has been filling the reservoir for approximately 0.0289 minutes or 1.7 seconds.