Question

Mr.Baker is driving 100 miles . His average speed to the nearest 2 miles per hour is 56 miles per hour. What is the range of possible values for T the total time of the drive in hours

Answer 1

distance=100 miles
max. average speed=56+2=58 mph
\[time~taken=\frac{ 100 }{ 58 }=\frac{ 50 }{ 29 }=1\frac{ 21 }{ 29 }~hrs.\]
min.average speed=56-2=54 mph
\[time~taken=\frac{ 100 }{ 54 }=\frac{ 50 }{ 27 }=1\frac{ 23 }{ 27 }~hrs\]
\[T \in (1\frac{ 21 }{ 29 }hrs ,1\frac{ 23 }{ 27}hrs)~or~1\frac{ 21 }{ 29}hrs<T<1\frac{ 23 }{ 27 }hrs\]

Answer 2

statement is not clear ,i thought it varies 2 mph either way of 56 mph.