A tank currently holds 5 gallons of water. it is being filled at the rate of 1/4 gallon per minute. how long will it take for the tank to hold 9 gallons of water ?

16 minutes

Step-by-step explanation:

Because the tank already holds 5 gallons of water, you only need to find the number of minutes to fill 4 gallons of water.

Because it fills at a rate of 1/4 gallons a minute, it takes 4 minutes per gallon of water.

Since we are dealing with 4 gallons of water to be filled, we multiply 4 · 4 to get the number of minutes.

4 · 4 = 16

16 minutes

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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