# Word problem involving distance, time, speed calculations

Not what you're looking for? Search our solutions OR ask your own Custom question.

The tortoise and the hare finally have their long awaited rematch. The tortoise gets a 1000 foot lead and runs at 9 inches per second. The hare begins at the starting line and runs at a rate of 6 feet per second. There is also a rat who starts 1200 feet ahead of the Hare and runs back towards the starting line at a rate of 2 feet per second.

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:16 pm ad1c9bdddfhttps://brainmass.com/math/algebra/word-problem-involving-distance-time-speed-calculations-15101

#### Solution Preview

When will the tortoise and hare pass each other and how far will they be from the starting line?

1000 + 0.75T = 6T

T = 1000/5.25 = 190.48 seconds (approximately)

D = 6(1000/5.25)=1142.86 feet (approximately)

When will the tortoise and rat pass each other and how far will they be from the starting line?

1000 + 0.75 T = 1200 ...

#### Solution Summary

The expert examines distance, time, and speed calculations.

$2.49