Question

Josh and Chris are training for baseball season. Josh did 36 pushups in 30 seconds. Chris did 56 pushups in 50 seconds. Who will do more pushups in 2(1)/(2) minutes? Explain how you know.

Answer 1

By comparing the rates of pushups per second for Josh and Chris, it is determined that Josh would perform more pushups in 2 and a half minutes with an expected total of 180 pushups compared to Chris's 168.

Step-by-step explanation:

To determine who would do more pushups in 2 and a half minutes, we first need to calculate the rate at which Josh and Chris are doing pushups and then compare them.

Let's calculate:

• Josh's rate: 36 pushups / 30 seconds = 1.2 pushups/second
• Chris's rate: 56 pushups / 50 seconds = 1.12 pushups/second

Now, 2 and a half minutes is 150 seconds (since 2.5 minutes * 60 seconds/minute = 150 seconds).

• Josh's expected number of pushups in 150 seconds: 150 seconds * 1.2 pushups/second = 180 pushups
• Chris's expected number of pushups in 150 seconds: 150 seconds * 1.12 pushups/second = 168 pushups

Therefore, we can conclude that Josh would do more pushups in 2.5 minutes since his rate is higher than Chris's.