SOLUTION: Elijah and Marco are racing from their school to Marco’s house. In the first 10 seconds, Elijah runs 30 yards, and Marco runs 33 yards. Marco stops for 5 seconds to catch his b

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Question 1135044: Elijah and Marco are racing from their school to Marco’s house. In the first
10 seconds, Elijah runs 30 yards, and Marco runs 33 yards. Marco stops
for 5 seconds to catch his breath and then starts running again. Assuming
that each of the boys maintains his respective pace, how long will it take for
Marco to catch up with Elijah?

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Every 10 seconds, Marco runs 33 yards and Elijah runs 30 yards; Marco runs 3 yards farther than Elijah.
After the first 10 seconds, Marco is 3 yards ahead of Elijah.
While Marco rests for 5 seconds, Elijah runs another 15 yards; after those 5 seconds, he is 12 yards ahead of Marco.
Since Marco runs 3 yards farther than Elijah in each 10 seconds, and since he is now 4*3=12 yards behind Elijah, it will take him 4*10=40 seconds to make up the 12 yards.

ANSWER: 40 seconds (after he starts running again)

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