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 16 minutes, and his brother claims to be a

Question 1006012: 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 16 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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
He can shovel the driveway in 16 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?
:
let t = time for the two working together to clear the walk
let the completed job = 1 (a clear driveway)
:
A shared work equation, each will do a fraction of the work, the two fractions add up to 1
+ = 1
multiply the equation by least common multiple of 16 & 12; 48, cancel and you have
3t + 4t = 48
t = 48/7
t = 6.9 min, so should be in good shape to make it to school.
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