Question:
The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30 pm. Faris assumes that the coach will travel at an average speed of 50 mph; using his assumption workout Faris’s arrival time in London
Answer:
[tex]Arrival = 7:24pm[/tex]
Step-by-step explanation:
Given
[tex]Distance = 195\ miles[/tex]
[tex]Speed = 50mi/hr[/tex]
[tex]Take\ off = 3:30\ pm[/tex]
Required
Determine the time of arrival
First, we need to calculate the time to complete the journey.
[tex]Speed = \frac{Distance}{Time}[/tex]
Make Time the subject
[tex]Time= \frac{Distance}{Speed }[/tex]
Substitute values for Distance and Speed
[tex]Time= \frac{195mi}{50mi/hr}[/tex]
[tex]Time= 3.9hr[/tex]
The arrival time is:
[tex]Arrival = Take\ off + Time\ Taken[/tex]
[tex]Arrival = 3:30pm + 3.9\ hours[/tex]
Split
[tex]Arrival = 3:30pm + 3\ hours + 0.9\ hours[/tex]
[tex]Arrival = 6:30pm + 0.9\ hours[/tex]
Convert 0.9 hours to minutes
[tex]Arrival = 6:30pm + 0.9 * 60\ mins[/tex]
[tex]Arrival = 6:30pm + 54\ mins[/tex]
[tex]Arrival = 7:24pm[/tex]
