Question

Roshonda begins riding her bike home from school at 3:00p.M., traveling 12 miles per hour. James leaves school in a bus a quarter of an hour later and travels 35 miles per hour in the same direction. At about what time will James catch up to Rochonda

Answer 1

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