Town X and Town Y were 980 km apart. At 8 a.m, Kay traveled from town X to Town Y while Jolin traveled from town Y to Town X. Bothe of them did not change their speeds throughout their journeys. Jolin's speed was 75 km/h. Find the distance Kay traveled when they met at 3 p.m.
To find the distance Kay traveled when they met at 3 p.m., we need to determine the time it took for them to meet and then calculate the distance covered by Kay during that time.
Given that Jolin's speed was 75 km/h and they met at 3 p.m., we can calculate the time it took for them to meet by subtracting the initial time from the meeting time. Let's break it down step by step:
1. Convert the time into a 24-hour format for easier calculation. 3 p.m. is equal to 15:00.
2. Calculate the time difference: 15:00 - 8:00 = 7 hours.
Now that we know it took them 7 hours to meet, we can calculate the distance Kay traveled during that time.
Since both Kay and Jolin traveled at a constant speed and the total distance between the two towns is 980 km, we can use the ratio between their speeds to find the distance each of them traveled. The ratio of the distances covered by Kay and Jolin should be the inverse of their speed ratio, given that they spent the same amount of time traveling.
The speed ratio between Kay and Jolin is: Speed of Jolin / Speed of Kay = 75 km/h / Speed of Kay.
Let's represent the distance traveled by Kay as D_Kay:
D_Jolin / D_Kay = Speed of Jolin / Speed of Kay = 75 km/h / Speed of Kay.
To find D_Kay, we can rearrange the equation:
D_Kay = D_Jolin * Speed of Kay / Speed of Jolin.
Substituting the values we know, with D_Jolin being the total distance of 980 km and the speed of Jolin being 75 km/h:
D_Kay = 980 km * Speed of Kay / 75 km/h.
Now, we have one last unknown: the speed of Kay. Since we don't know the speed of Kay, we cannot calculate the exact distance Kay traveled. Thus, we need more information to solve the problem. If you have any further details or constraints regarding Kay's speed or Jolin's speed in relation to Kay, please provide them, and I'll be happy to help you further.
they both traveled for 7 hours
since distance = speed * time, 7(75+x) = 980
Kay's speed was 65 km/hr