How many kilometers can motorist travel 8:55 am to 10:15 pm at a rate of 60km/hr
8:55 am to 9:00 am = 5 min
9:00 am to noon = 3 h
noon to 10:15 pm = 10 h 15 min
Total time of travel:
t = 5 min + 3 h + 10 h + 15 min = 13 h 20 min
1 h = 60 min
1 min = 1 h / 60
20 min = 20 ∙ 1 h / 60 = 20 h / 60 = 20 h / 20 ∙ 3 = 1 h / 3
t = 13 h 20 min = 13 h + 1 h / 3 =
3 ∙ 13 h / 3 + 1 h / 3 =
39 h / 3 + 1 h / 3 = 40 h / 3
Distance = Speed ∙ Time
Speed = 60 km / h
Time = 13 h 20 min = 40 h / 3
Distance = 60 km / h ∙ 40 h / 3 = 2400 / 3 km = 800 km
To find the distance traveled by a motorist from 8:55 am to 10:15 pm, we need to calculate the total time traveled and then multiply it by the rate.
Step 1: Convert the given time to a 24-hour format for easier calculation.
8:55 am = 08:55
10:15 pm = 22:15
Step 2: Calculate the time traveled.
10:15 pm - 8:55 am = (22:15 - 08:55) = (13 hours and 20 minutes)
Step 3: Convert the minutes to hours.
20 minutes = 20/60 = 1/3 hour
Step 4: Add the converted minutes to the hours.
13 hours + 1/3 hour = 13 1/3 hours
Step 5: Multiply the time traveled by the rate to get the distance.
Distance = Rate × Time
Distance = 60 km/hr × 13 1/3 hr
Step 6: Convert the mixed fraction to an improper fraction.
Distance = 60 km/hr × (40/3) hr
Step 7: Simplify the calculation.
Distance = (60 × 40) / 3
Distance = 2400 / 3
Distance = 800 km
Therefore, the motorist can travel 800 kilometers from 8:55 am to 10:15 pm at a rate of 60 km/hr.
To calculate the distance a motorist can travel from 8:55 am to 10:15 pm, we need to know the duration of time between these two points.
First, we'll find the time difference between 8:55 am and 10:15 pm.
Step 1: Convert 8:55 am to 24-hour format.
8 hours = 8
55 minutes = 55/60 = 0.92 hours (approx.)
Step 2: Convert 10:15 pm to 24-hour format.
12 hours (AM/PM difference) + 10 hours = 22
15 minutes = 15/60 = 0.25 hours (approx.)
Step 3: Calculate the time difference.
Time difference = (22 + 0.25) - (8 + 0.92)
= 22.25 - 8.92
= 13.33 hours (approx.)
The motorist can travel for approximately 13.33 hours.
Now, to find the distance traveled at a rate of 60 km/hr, we can use the formula:
Distance = Speed x Time
Step 4: Calculate the distance traveled.
Distance = 60 km/hr x 13.33 hours
Distance = 799.8 km (approx.)
Therefore, the motorist can travel approximately 799.8 kilometers from 8:55 am to 10:15 pm at a rate of 60 km/hr.