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.