Question

Pat is walking to a restaurant 9 blocks away. Pat has walked 3 blocks in 7minutes. How many more minutes to reach the restaurant?

Answer 1

15 minutes

Explanation:

15 minutes

The blocks remaining is 7 - 2 = 5. The rate is (2 blocks)/(6 min).

So (2 blocks)/(6 min) = (5 blocks)/(x min).

2/6 = 5/x (units omitted for simplicity)

(2/6) × x = (5/x) × x (Multiplying both sides by x so x is not at the bottom).

(2/6) × x = 5

6 × (2/6) × x = 6 × 5

2x = 30

x = 15

Pat will take 15 minutes to walk the remaining 5 blocks.

Answer 2

We can solve this question in the following way:

We have that Pat has walked 3 blocks in 7 minutes, and now, we can post the following: how long will it take to walk 9 blocks?

Then, we have:

Then, we can solve for x as follows:

We need to multiply 9 blocks by 7 minutes, and then we divide the result by 3 blocks (see the red lines).

`x=(9bl\cdot7\min)/(3bl)\Rightarrow x=(63\min)/(3)\Rightarrow x=21\min`

This answer comes from having into account the following proportion:

`(9bl)/(3bl)=(x)/(7\min)\Rightarrow x=(9bl\cdot7\min)/(3bl)=21\min`

(We have here proportional quantities.)

It will take 21 min to walk the 9 blocks. However, Pat has walked for 7 minutes. Therefore, Pat needs to walk for (21 min - 7 min) = 14 minutes.

Therefore, Pat will need to walk for 14 minutes more to reach the restaurant.