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URGENT: Mr. Donaldson drove from his house to Bigfoot, Texas at 70 mph. On his return trip he followed the same route, but since his car wasn't running well, he only averaged 50 mph. If the total round trip took 6 hours, how many hours did it take Mr. Donaldson to drive from his house to Bigfoot?​

User Sherie
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2 Answers

1 vote

Final answer:

Mr. Donaldson took 2.5 hours to drive from his house to Bigfoot, Texas.

Step-by-step explanation:

We're given a scenario where Mr. Donaldson drove to Bigfoot, Texas at 70 mph and returned at 50 mph. The total round trip took 6 hours. To find the time it took for the trip to Bigfoot, we need to set up two equations that reflect the relationship between distance, rate (speed), and time because distance = rate x time.

Let d be the one-way distance to Bigfoot. The time taken to go to Bigfoot is d/70 and the time to return is d/50. Since the total time is 6 hours:

d/70 + d/50 = 6

To solve for d, find a common denominator (350) and solve the resulting equation:

(5d + 7d) / 350 = 6

12d = 350 x 6

d = (350 x 6) / 12

d = 175 miles

Now we know the distance traveled in each direction is 175 miles. We can now find the time it took to go to Bigfoot:

Time to Bigfoot = 175 miles / 70 mph = 2.5 hours

Hence, Mr. Donaldson took 2.5 hours to drive from his house to Bigfoot.

User Roman Proshin
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6.1k points
4 votes

Answer:

2 hours

Step-by-step explanation:

Because if the total round trip took 6 hours then it mustve taken him 2 hours to drive there at 70mph and 4 hours to drive back at 50mph.

User Joon Kyoung
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5.9k points