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

Lizbeth

New member
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?

Subhotosh Khan

Super Moderator
Staff member
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.

Lizbeth

New member
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.