Mr Roberts drove a distance of 118km from city X to city Y. At first,he drove at a speed of 60 km/h. Then he drove for 1 1/4hr to city Y,covering a distance of 70km. If Mr Roberts left city X at 1400, at what time did he arrive at city Y?
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To determine the time Mr. Roberts arrived at City Y, we need to calculate the total time he spent driving.
1. Calculate the time it took Mr. Roberts to cover the distance of 70 km at a speed of 60 km/h:
Time = Distance / Speed
Time = 70 km / 60 km/h
Time = 1.1667 hours (approximately)
2. Mr. Roberts already spent 1 1/4 hours driving to City Y. Convert this time into decimal hours:
1 1/4 hours = 1 + 1/4 = 1.25 hours
3. Add the two times together to get the total driving time:
Total Driving Time = 1.1667 hours + 1.25 hours
Total Driving Time = 2.4167 hours (approximately)
4. Add the total driving time to the time Mr. Roberts left City X to find the arrival time:
Arrival Time = Departure Time + Total Driving Time
Since Mr. Roberts left City X at 1400 hours (2:00 PM), we convert this time into decimal hours:
1400 hours = 14.00 hours
Arrival Time = 14.00 hours + 2.4167 hours
Arrival Time = 16.4167 hours (approximately)
5. Convert the decimal hours back into a 24-hour format:
16.4167 hours = 16 hours + 0.4167 * 60 minutes = 16 hours + 25 minutes
Therefore, Mr. Roberts arrived at City Y at approximately 16:25 (4:25 PM).