Hillary and Charlene both drove from city a to city b. at 10 am., Hilary left city a and drove at an average speed of 120 km/h Charlene drove at an average speed of 144km/h and took 50 minutes. she arrived at city b at the same time as Hillary. find the time Charlene left city a.
since distance = speed * time,
d = 144 km/hr * 5/6 hr = 120km
So now you know how far Hillary drove. How long did it take her?
When did she arrive? Charlene left 50 minutes before that.
or, since both women drove the same distance, their drive times were inversely proportional to their speeds. (twice as fast takes half as long.)
So, if Charlene's drive time was t minutes, then
t/50 = 144/120
thank you so much for your help
To find the time Charlene left City A, we need to calculate the time it took her to travel from City A to City B.
Let's start by finding the distance between the two cities. Since both Hillary and Charlene traveled the same distance, we can use the formula:
Distance = Speed x Time
Hillary's average speed was 120 km/h, and we need to calculate the time it took her to travel. Let's call this time "t." So,
Distance = 120 km/h * t
Charlene's average speed was 144 km/h, and she took 50 minutes (0.83 hours) to reach City B. Let's find the distance traveled by Charlene:
Distance = 144 km/h * 0.83 h
Since both Hillary and Charlene traveled the same distance, we can equate the two distances:
120 km/h * t = 144 km/h * 0.83 h
Now, let's solve for t:
120t = 144 * 0.83
120t = 119.52
t ≈ 0.996
So, it took Hillary approximately 0.996 hours to travel from City A to City B.
To find the time Charlene left City A, we need to subtract the time taken by Hillary from the total time of Charlene's journey:
Total time for Charlene's journey = 0.83 hours
Time Charlene left City A = Total time - Time taken by Hillary
= 0.83 hours - 0.996 hours
Now, let's calculate the time Charlene left City A:
Time Charlene left City A ≈ -0.166 hours
However, this result indicates a negative time, which is not possible. It suggests that Charlene would have needed to travel back in time to leave City A. This means there might be a mistake in the problem or the information given.
Please double-check the values and let me know if there are any other details or clarifications that can help solve the problem accurately.