Kathy walked 3 1/2 mph for 1 1/4 hours. During 1/2 of her walking time it rained. How many miles did you walk while it was raining?
(3 1/2)*(1 1/4)*(1/2) = ?
To find out how many miles Kathy walked while it was raining, we first need to determine the total distance she walked and then calculate the distance walked during the time it rained.
Let's break it down step by step:
1. Calculate the total distance Kathy walked:
Speed = 3 1/2 mph
Time = 1 1/4 hours
To calculate distance, we use the formula:
Distance = Speed × Time
Distance = (3 1/2 mph) × (1 1/4 hours)
Distance = (7/2) mph × (5/4) hours
Since mph and hours are in the numerator and denominator respectively, they cancel out, leaving us with:
Distance = 7/2 × 5/4
Distance = 35/8
2. Calculate the time Kathy walked while it was raining:
Total Walking Time = 1 1/4 hours
Time it rained = 1/2 of the Total Walking Time
Time it rained = (1/2) × (5/4) hours
Time it rained = 5/8 hours
3. Calculate the distance Kathy walked while it was raining:
Distance while it rained = Speed × Time
Distance while it rained = (3 1/2 mph) × (5/8 hours)
Distance while it rained = (7/2) mph × (5/8) hours
Again, mph and hours cancel out, leaving us with:
Distance while it rained = 7/2 × 5/8
Distance while it rained = 35/16
Therefore, Kathy walked 35/16 miles while it was raining.