Question

Hi there. This math problem makes no sense to me. Please explain it. Thank you!

Answer 1

so she walks 3.5 mph, miles per hour, that's her walking speed rate.

so in 6 hours, she walked

3.5 miles

+ 3.5 miles

+ 3.5 miles

+ 3.5 miles

+ 3.5 miles

+ 3.5 miles

namely 6(3.5) miles in 6 hours.

she did that for 3 weeks, so she did it 3 times, 3 times that much is 6(3.5)+6(3.5)+6(3.5), or 3[ 6(3.5) ].

well, her regular speed is 3.5, so one-half her regular speed will be 3.5/2.

we know she walked one week for 4 hours at half her speed, that means she walked

3.5/2 miles

+ 3.5/2 miles

+ 3.5/2 miles

+ 3.5/2 miles

namely
`\bf 4\left[(3.5)/(2) \right]`.

`\bf \stackrel{\textit{3 weeks at regular speed for 6 hours}}{3[~~6~(3.5)~~]}~~+~~\stackrel{\textit{one week for 4 hours at half-speed}}{1~~\left[ 4~\left((3.5)/(2) \right) \right]}\\\\\\63~~+~~7\implies 70`