Karen took 1h 45m to drive from town a to town b.she took another 25m to drive town b to town c.after that,she drove back to town a.the journey from town a to town c and then back to town a took 3h 35m.

find the percentage of the time she spent driving back to town a from town c.express ur answer to 1 decimal place

Karen took 1h 45mins to drive from Town A to Town B.She took another 25 mins to drive from Town B to Town C.After that,she drove back to Town A.The journey from Town A to Town C and then back to Town A took 3h 35mins.

Find the percentage of the time she spent driving back to Town A from Town C.Express your answer correct to 1 decimal place.

Solution

From Town A to Town B = 1 h 45 min
From Town B to Town C = 25 min
From Town C to Town A = 3 h 35 min - (1h 45 min + 25 min) = 1 h 25 min

85/215 × 100% = 39.5%

To find the percentage of the time Karen spent driving back to town A from town C, we need to determine the total time spent on the trip from town A to town C and back to town A, and then calculate the portion of this total time that represents the drive from town C to town A.

Let's break down the given information into a timeline:

1. Karen took 1 hour and 45 minutes (1h 45m) to drive from town A to town B.
2. She took an additional 25 minutes (25m) to drive from town B to town C.
3. The total time for the journey from town A to town C and then back to town A is 3 hours and 35 minutes (3h 35m).

To find the percentage of the time she spent driving back to town A from town C, we first need to calculate the total time spent on the entire journey.

Total time = Time from A to B + Time from B to C + Time from C back to A

Since we have the time durations in different formats (hours and minutes), it's best to convert them to a single unit. Let's convert the minutes to hours and add up the durations:

Total time = 1h 45m + 25m + 3h 35m

To add the times together, we can convert them to a common format by dividing the number of minutes by 60 and then adding them to the number of hours:

Total time = 1.75h + 0.42h + 3.58h
Total time = 5.75 hours

Now, we need to determine the portion of this total time that represents the drive from town C to town A:

Percentage of time driving back to town A = (Time driving back to A / Total time) * 100

Time driving back to A = Total time - Time driving to C

Time driving back to A = 5.75h - (1.75h + 0.42h) = 3.58 hours

Percentage of time driving back to town A = (3.58h / 5.75h) * 100
Percentage of time driving back to town A = 62.26%

Therefore, Karen spent approximately 62.3% of the total time driving back from town C to town A.