Question

Kathy walked 3 1/2 miles per hour for 1 1/4 hours. During 1/2 of her walking time it rained. How many miles did she walk while it was raining?

Answer 1

(3 1/2)(1 1/4)(1/2)

(7/2)(5/4)(1/2)

35/16

(32+3)/16

2 3/16 miles

Answer 2

2 3/16 mi

Explanation:

Given data:

• Speed (v): 7/2 mi/h

3 1/2 = 3 + 1/2 = 6/2 + 1/2 = 7/2

• Time (t): 5/4 h

1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4

We can find the distance (d) walked using the following expression.

d = v × t = (7/2 mi/h) × 5/4 h = 35/8 mi

If it rained during 1/2 of her walking, we have to multiply the distance by 1/2.

1/2 × 35/8 mi = 35/16 mi = (3 + 32)/16 mi = 3/16 mi + 32/16 mi = 3/16 mi + 2 mi = 2 3/16 mi