8. Mum set off at \( 5: 55 \mathrm{pm} \). She arrived at her destination at 7.34 pm . Mum had estimated that the journey would take her 2 hours and 16 minutes. What is the difference between her estimated and actual travel time? Wimitem Step Word. Problems

To find the difference between Mum's estimated travel time and her actual travel time, we first need to calculate both times. 1. **Calculate the actual travel time:** - Mum set off at 5:55 PM and arrived at 7:34 PM. - To find the actual travel time, we subtract the start time from the end time. \[ \text{Actual travel time} = 7:34 \text{ PM} - 5:55 \text{ PM} \] We can break this down: - From 5:55 PM to 6:00 PM is 5 minutes. - From 6:00 PM to 7:00 PM is 1 hour. - From 7:00 PM to 7:34 PM is 34 minutes. Now, we add these times together: \[ 5 \text{ minutes} + 60 \text{ minutes} + 34 \text{ minutes} = 99 \text{ minutes} \] To convert 99 minutes into hours and minutes: - 99 minutes = 1 hour and 39 minutes. So, the actual travel time is **1 hour and 39 minutes**. 2. **Calculate the estimated travel time:** - Mum estimated that the journey would take her 2 hours and 16 minutes. 3. **Find the difference between estimated and actual travel time:** - We need to convert both times into minutes for easier subtraction. - Estimated travel time: \[ 2 \text{ hours} \times 60 + 16 \text{ minutes} = 120 + 16 = 136 \text{ minutes} \] - Actual travel time: \[ 1 \text{ hour} \times 60 + 39 \text{ minutes} = 60 + 39 = 99 \text{ minutes} \] Now, we find the difference: \[ \text{Difference} = \text{Estimated time} - \text{Actual time} = 136 \text{ minutes} - 99 \text{ minutes} = 37 \text{ minutes} \] Thus, the difference between Mum's estimated and actual travel time is **37 minutes**.