duahsolo
Tube 1 drops 2 marbles per minute starting at 8:05. Tube 2 drops 5 marbles per minute starting at 8:23. If Jerry needs 400 marbles from the tubes, at what time will he get the 400 marbles?
A) 8:57
B) 9:05
C) 9:07
D) 9:15
E) 9:25
Let x = the number of minutes from 8:05 until Jerry gets the 400 marbles.
Since Tube 1 drops 2 marbles per minute, it will drop 2x marbles until the ending time. Since Tube 2 starts at 8:23 (18 minutes later) and it drops 5 marbles per minute, it will drop 5(x - 18) marbles until the end.
Thus, we can create the following equation:
2x + 5(x - 18) = 400
2x + 5x - 90 = 400
7x - 90 = 400
7x = 490
x = 70
Since 70 minutes = 1 hour 10 minutes, the ending time is 1 hour 10 minutes after 8:05, or 9:15.
Alternate solution:
During the 18 minutes between 8:05 and 8:23, Tube 1 will have dropped 18 x 2 = 36 marbles. Thus, Jerry needs just 364 marbles at 8:23, and at that time, he will be getting a combined 7 marbles per minute from the two tubes. Let’s let x = the number of minutes until he gets those 364 marbles.
7x = 364
x = 52
Jerry will have gotten all 400 marbles 52 minutes after 8:23, which is 9:15.
Answer: D