Combined Pump Rates Fill A Tank

This animation visualizes a classic work-rate problem: Pump A fills a tank in 4 hours and Pump B fills it in 12 hours. A divided tank fills with shaded regions representing each pump's rate per hour, then combines to show their joint rate as a fraction sum. The animation reveals how adding individual rates (1/4 + 1/12) gives a combined rate, which inverts to find the total time together. Useful for students learning work-rate problems in algebra.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Pump A fills a tank in 4 hours and pump B fills it in 12 hours. How long do they take together? **Colors:** background #F5F6F0; text and outlines #17271F; highlights #D5F34A; secondary elements #B7C4BA. Audience: 13-19

Make your own version

Make the next one in this series

• Show three pumps working together with different individual fill times.
• Animate a work-rate problem where one pump drains while another fills.
• Visualize the same concept using two workers completing a task at different speeds.