Question

question 22 of 45
joe, tom, and alexis are planning to participate in a 3 - person relay for charity. the plan is for joe to jog his 3 miles at 4 miles per hour (mph), tom to jog his 3 miles at 5 mph, and then alexis to jog her 3 miles at 6 mph. in how many hours and minutes does this 3 - person team plan to complete the 9 - mile relay?
a 0 hours 36 minutes
b 1 hour 48 minutes
c 1 hour 51 minutes
d 2 hours 25 minutes

Explanation:

Step1: Calculate Joe's time

Time = Distance / Speed. Joe's distance is 3 miles, speed is 4 mph. So time for Joe: $t_J = \frac{3}{4}$ hours. Convert to minutes: $\frac{3}{4} \times 60 = 45$ minutes.

Step2: Calculate Tom's time

Tom's distance is 3 miles, speed is 5 mph. Time for Tom: $t_T = \frac{3}{5}$ hours. Convert to minutes: $\frac{3}{5} \times 60 = 36$ minutes.

Step3: Calculate Alexis's time

Alexis's distance is 3 miles, speed is 6 mph. Time for Alexis: $t_A = \frac{3}{6} = 0.5$ hours. Convert to minutes: $0.5 \times 60 = 30$ minutes.

Step4: Total time

Sum the minutes: $45 + 36 + 30 = 111$ minutes. Convert to hours and minutes: $111 \div 60 = 1$ hour with remainder $51$ minutes. So total time is 1 hour 51 minutes.

Answer:

C. 1 hour 51 minutes