Answer:
Step-by-step explanation:
At the point where Roshonda and James meet each other, they must have covered equal distances.
Let x represent the distance that Roshonda covered while riding from school to home and also the distance covered by James while travelling in a bus from school.
Let t represent the time it took Roshonda to cover x miles.
Distance = speed × time
Therefore
x = 12 × t = 12t
James left school 0.25 hours later at a speed of 35 miles per hour. Time spent by James in covering x miles would be t - 0.25.
Distance covered would be
x = 35(t - 0.25) = 35t - 8.75
Since the distance covered is the same, then,
12t = 35t - 8.75
35t - 12t = 8.75
23t = 8.75
t = 8.75/23 = 0.38 hours
0.38 + 0.25 = 0.63 hours
0.63 × 60 = 37.8 minutes
At about 3:38 pm, they would meet
