Question

If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin, how long will it take the blue troop to walk from the cabin to the restrooms?

Answer 1

The blue troop will take 3/8 hours to walk from the cabin to the restrooms.

Step-by-step explanation:

To find out how long it will take for the blue troop to walk from the cabin to the restrooms, we need to calculate the time it takes for them to hike 3/4 mile. The blue troop hikes 2/3 of a mile every 1/2 hour, so we can set up a proportion to solve for the time it takes to hike 3/4 mile:

2/3 mile / 1/2 hour = 3/4 mile / x hours

Using cross multiplication, we can solve for x:

2/3 mile * x hours = 1/2 hour * 3/4 mile

x hours = (1/2) * (3/4)

x hours = 3/8

Therefore, it will take the blue troop 3/8 hours to walk from the cabin to the restrooms.

Answer 2

9/16 hour

Step-by-step explanation:

If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin,

Hence:

2/3 mile = 1/2 hour

3/4 mile = x hour

Cross Multiply

2/3 × x = 3/4 × 1/2

x = 3/4 × 1/2/ 2/3

x = 3/8 ÷ 2/3

x = 3/8 × 3/2

x = 9/16 hour

Therefore it will take the blue troop 9/16 hour to walk from the cabin to the restroom.