If Alex increases his speed by 2 miles per hour from 10 miles per hour he will be 0.01 hrs or 6 minutes faster that is will take 6 minutes less to reach school.
Solution:
Given that
Alex cycles at a speed of 10 miles per hour; Alex cycles 6 miles from home to school.
Need to calculate how much faster will Alex reach to school if he increase its speed by 2 miles per hour . Formula for time is as follows ,
[tex]\text { Time }=\frac{\text { Distance covered }}{\text { speed }}[/tex]
Lets calculate time taken by Alex to reach school at normal speed that is 10 miles per our
As distance covered from home to school is 6 miles
Distance covered = 6 miles
Normal Speed = 10 miles per hour
Substituting the given values in formula of time we get
Time taken at normal speed [tex]\mathrm{T}_{\mathrm{N}}=\frac{6}{10}=0.6 \text { hours }[/tex]
Now calculate time taken by Alex to reach school when speed is increased by two
Distance covered = 6 miles
Increase Speed = [tex]10 + 2 = 12 \text { miles }[/tex]
Substituting the given values in formula of time we get
Time taken at Increased speed [tex]\mathrm{T}_{\mathrm{I}}=\frac{6}{10}=0.5 \text { hours }[/tex]
Difference in time taken = [tex]\mathrm{T}_{\mathrm{N}}-\mathrm{T}_{\mathrm{I}}=0.6-0.5=0.10 \mathrm{ hrs }[/tex]
As 1 hour = 60 minutes
[tex]\Rightarrow 0.10 \mathrm{hrs}=60 \mathrm{x} 0.10=6 \text { minutes }[/tex]
