On a ranch in Washington, a herd of cattle is moving due east at a rate of 3 kilometers per hour. One of the ranch hands is alre

Question

2 years ago

11

On a ranch in Washington, a herd of cattle is moving due east at a rate of 3 kilometers per hour. One of the ranch hands is alre

ady further to the east. He rides due west, toward the herd, to round them up. If the ranch hand started out 8 kilometers away from the herd and is riding 14 kilometers per hour, how long will it be before he meets the herd? If necessary, round your answer to the nearest minute. hours and minutes

Mathematics

1 answer:

torisob [31] · Answer 1 · 2023-06-26T07:24:49+03:00

Answer:

About 1 hour and 16 minutes

Step-by-step explanation:

From the problem, we can think that the distance between them is narrowing 11 km/hr (8 + 3). Therefore, after one hour the herd and the ranch hand are 3 km apart. We can then use 11 km/hr from earlier, and get the answer of 1 hour and 3/11 of an hour, which is about 1 hour and 16 minutes.