A can run a race in 100 seconds, while B can run it in 120 seconds. If they star

A can run a race in 100 seconds, while B can run it in 120 seconds. If they start together, how much time will A lead B after 1 minute?

A can run a race in 100 seconds, while B can run it in 120 seconds. If they start together, how much time will A lead B after 1 minute?

Step 1: Determine the speed of A. A can run the race in 100 seconds, so A's speed is 1 race per 100 seconds, which is 1/100 races per second.
Step 2: Determine the speed of B. B can run the race in 120 seconds, so B's speed is 1 race per 120 seconds, which is 1/120 races per second.
Step 3: Calculate how far A runs in 60 seconds. A's speed is 1/100 races per second, so in 60 seconds, A runs 60 * (1/100) = 0.6 races.
Step 4: Calculate how far B runs in 60 seconds. B's speed is 1/120 races per second, so in 60 seconds, B runs 60 * (1/120) = 0.5 races.
Step 5: Find the lead A has over B after 60 seconds. A runs 0.6 races and B runs 0.5 races, so the lead is 0.6 - 0.5 = 0.1 races.
Step 6: Convert the lead in races to time. Since A's speed is 1/100 races per second, the time it takes A to cover the lead of 0.1 races is 0.1 / (1/100) = 10 seconds.

Speed and Distance Calculation – Understanding how to calculate speed as distance over time and applying it to find the distance covered in a given time.
Relative Speed – Analyzing the difference in speeds of two runners to determine the lead of one over the other.