GEYSER TIMES-5pts.

While spending the Winter Break at Yosemite, the "Polar Express" Boys discovered an active geyser (a hot spring of boiling water, shooting a tall column of water and steam into the air at certain times). Yosemite officials named the geyser "Polar Express" for their discovery. The eruptions of this "Polar Express" geyser are very predictable. Below are the last five eruptions:
1. at 12:00 P.M. for five minutes
2. at 12:50 P.M. for six minutes
3. at 1:44 P.M. for seven minutes
4. at 2:42 P.M. for eight minutes
5. at 3:44 P.M. for nine minutes
​6. ----- ?
YOUR OBJECTIVE: Using the information given, calculate WHAT TIME and HOW LONG the next eruption will take place.
(Hint: There is a formula. Look for patterns of the duration and time.)

ANSWER: 
"Polar Express" geyser next eruption will be at:
​4:50 P.M. for 10 minutes.
The formula used to figure out the time until the next eruption is 4D + 30 minutes, where D is the duration of the last eruption. So...
4 x 9 + 30 = 66 mins or 1:06. Therefore 3:44 + 1:06 = 4:50.
WINNERS: Kalysta, Mohammad, Hadiqa, Neema