# Thread: Word Problem I'm Stuck On: The pig was 8 miles ahead when...

1. ## Word Problem I'm Stuck On: The pig was 8 miles ahead when...

Hi, I can't seem to figure out how to solve this problem. Can anyone explain it to me? Thanks!

The pig was 8 miles ahead when the butcher started chasing it. If the butcher, traveling at three times the pig's speed, took 3. 25 hours to catch the pig, how far did the butcher travel?

2. Originally Posted by Lizbeth
Hi, I can't seem to figure out how to solve this problem. Can anyone explain it to me? Thanks!

The pig was 8 miles ahead when the butcher started chasing it. If the butcher, traveling at three times the pig's speed, took 3. 25 hours to catch the pig, how far did the butcher travel?
Start naming variables:

Butcher traveled = D

Pig traveled = D - 8 (from the time butcher started to chase it)

Butcher's speed = B → D = B * 3.25 ..................... (1)

Pig's speed = B/3 → D - 8 = B/3 * 3.25 ................. (2)

2 equations and 2 unknowns - solve it.

3. Originally Posted by Subhotosh Khan
Start naming variables:

Butcher traveled = D

Pig traveled = D - 8 (from the time butcher started to chase it)

Butcher's speed = B → D = B * 3.25 ..................... (1)

Pig's speed = B/3 → D - 8 = B/3 * 3.25 ................. (2)

2 equations and 2 unknowns - solve it.
Thank you very much.