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Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/3 mile every 1/2 hour. The Yellow Troop hikes 3/4 mile every 1/3 hour. How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours