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Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 miles in 1.7 hours and the last 5 miles in 1.8 hours, how long will it take him to complete the 25 mile walking distance? (Enter numeric value only. If rounding is required, round to the nearest tenth).

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letmeanswer

Answer:

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is [tex]\left(\frac{20}{6}\right)[/tex] miles/hours = 3.33 miles/hours.  

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in [tex]\left(\frac{1}{3.3}\right)[/tex] hours

Hence the total time he will take to walk 25 miles is [tex]\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }[/tex][tex]\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours[/tex]

That is approximately 7.57 or 7.6 hours.