Final answer:
LoToya cannot be home in one hour because walking to the bike shop and waiting for the repairs already takes up the entire hour. She still needs to bike back home, which will take additional time.
Step-by-step explanation:
To determine if LoToya can be home in one hour after walking her bike to the bike shop, waiting for 30 minutes for the repair, and biking back home, we should calculate the time spent walking and biking separately. LoToya walks to the bike shop at a speed of 3 mph for a distance of 1.5 miles. To find the time taken to walk to the bike shop, we use the formula:
Time = Distance ÷ Speed
For the walking part:
Time = 1.5 miles ÷ 3 mph = 0.5 hours or 30 minutes
Since she spends 30 minutes waiting for the repair, the total time spent until this point is 30 minutes (walking) + 30 minutes (waiting) = 60 minutes or 1 hour.
This means that she has used up the entire hour before she even starts to bike back home. Biking at a speed of 10 mph will certainly take some amount of time, more than zero minutes. Therefore, it is impossible for LoToya to be home in one hour. The correct answer is:
b) No