mike and jamal are 9 miles apart, and are planning to meet up. mike is walking at an average speed of 3…

mike and jamal are 9 miles apart, and are planning to meet up. mike is walking at an average speed of 3 miles per hour to meet jamal. jamal is driving at an average speed of 25 miles per hour to meet mike. which equation can be used to find t, the time it takes for mike and jamal to meet? 25t - 3t = 0 25t - 3t = 9 25t + 3t = 1 25t + 3t = 9 rate (mph) time (h) distance (miles) mike 3 t 3t jamal 25 t 25t

mike and jamal are 9 miles apart, and are planning to meet up. mike is walking at an average speed of 3 miles per hour to meet jamal. jamal is driving at an average speed of 25 miles per hour to meet mike. which equation can be used to find t, the time it takes for mike and jamal to meet? 25t - 3t = 0 25t - 3t = 9 25t + 3t = 1 25t + 3t = 9 rate (mph) time (h) distance (miles) mike 3 t 3t jamal 25 t 25t

Answer

Explanation:

Step1: Recall distance - rate - time formula

Distance = Rate×Time. Mike's distance $d_1 = 3t$ (rate is 3 mph and time is $t$ hours), Jamal's distance $d_2=25t$ (rate is 25 mph and time is $t$ hours).

Step2: Consider the total distance

They start 9 miles apart and when they meet, the sum of the distances they travel equals 9 miles. So $d_1 + d_2=9$, substituting $d_1 = 3t$ and $d_2 = 25t$ we get $25t+3t = 9$.

Answer:

$25t + 3t=9$