SOLUTION: A student must leave for campus in 10 minutes or he will be late for class.​ Unfortunately, he is snowed in. He can shovel the driveway in 20 ​minutes, and his brother
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Question 1083155: A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 20 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of shoveling to get their
rate shoveling together
student's rate:
[ 1 driveway shoveled / 20 min ]
brother's rate:
[ 1 driveway shoveled / 12 min ]
--------------------------------
Let = their time to shovel the
driveway working together
Multiply both sides by
They can shovel the driveway in 7.5 min, which
is less than 10 min needed
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
, as if 8 driveways cleared in 60 minutes; or driveways-worth cleared in 10 minutes.
The student will be late. He needs 10 minutes to travel for being on-time to campus. Time t, to clear the driveway by student and his brother combined will be
------seven and a half minutes;
which leaves the student only 2.5 minutes of travel time before he will no longer be to campus on-time.
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