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 average only 30 miles per hour on the return trip. What is the farthest distance from home they can plan to go?
Note
The ratio of speeds while going and returning = 40 : 30 = 4 : 3.
The ratio of times taken while going and returning = 3 : 4.
Time is taken while going = (24 ÷ 7)hr.
Time is taken while returning = (32 ÷ 7)hr.
∴ Required distance = (960 ÷ 7) = 137.14 miles.