A family, planning a weekend trip, decides to spend not more than a total of 8…
2025
A family, planning a weekend trip, decides to spend not more than a total of 8 hours driving. By leaving early in the morning, they can average 40 miles per hour on the way to their destination. Due to the heavy Sunday traffic, they can average only 30 miles per hour on the return trip. What is the farthest distance from home they can plan to go?
- A.
138.14 miles
- B.
137.24 miles
- C.
137.04 miles
- D.
137.14 miles
Attempted by 5 students.
Show answer & explanation
Correct answer: D
Solution: Step-by-step
Let d be the one-way distance (in miles).
Write the total time constraint for the round trip: d/40 + d/30 = 8.
Solve the equation: multiply both sides by 120 to eliminate denominators: 3d + 4d = 960, so 7d = 960.
Compute d: d = 960/7 ≈ 137.142857. Rounding to two decimal places gives 137.14 miles.
Therefore, the farthest distance they can plan to go is 137.14 miles (one-way).