Answer:
Josh
Step-by-step explanation:
To find out who will do more pushups in 2 1/2 minutes (which is equivalent to 150 seconds), we first need to calculate their respective rates of pushups per second.
Josh's rate of pushups per second:
[tex]\text{Josh's rate} = \dfrac{\text{Number of pushups}}{\text{Time taken}} = \frac{36}{30} = 1.2 \text{ pushups per second}[/tex]
Chris's rate of pushups per second:
[tex]\text{Chris's rate} = \dfrac{\text{Number of pushups}}{\text{Time taken}} = \frac{56}{50} = 1.12 \text{ pushups per second}[/tex]
Now, we'll use these rates to calculate the number of pushups each person will do in 150 seconds.
Josh's pushups in 150 seconds:
[tex]\[ \text{Josh's pushups} = 1.2 \times 150 = 180 \][/tex]
Chris's pushups in 150 seconds:
[tex]\[ \text{Chris's pushups} = 1.12 \times 150 = 168 \][/tex]
Therefore, Josh will do more pushups in 2 1/2 minutes.
