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.

<u>Solution: </u>

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 ,

$\text { Time }=\frac{\text { Distance covered }}{\text { speed }}$

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 $\mathrm{T}_{\mathrm{N}}=\frac{6}{10}=0.6 \text { hours }$

Now calculate time taken by Alex to reach school when speed is increased by two

Distance covered = 6 miles

Increase Speed = $10 + 2 = 12 \text { miles }$

Substituting the given values in formula of time we get

Time taken at Increased speed $\mathrm{T}_{\mathrm{I}}=\frac{6}{10}=0.5 \text { hours }$

Difference in time taken = $\mathrm{T}_{\mathrm{N}}-\mathrm{T}_{\mathrm{I}}=0.6-0.5=0.10 \mathrm{ hrs }$

As 1 hour = 60 minutes

$\Rightarrow 0.10 \mathrm{hrs}=60 \mathrm{x} 0.10=6 \text { minutes }$

6 0

3 years ago

Which fractions are equivalent to Two-twelfths plus four-twelfths? Check all that apply.

Aneli [31]

Answer:

1/2, 2/4,& 3/6

Step-by-step explanation:

Well, two-twelfths plus four-twelfths is equal to size-twelfths which is equal to one half. Using this we can figure out which other fractions are equal to one half and answer the problem.

8 0

3 years ago

The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?

rosijanka [135]

Answer:

y = $\frac{1}{3}$ x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

y + 6 = $\frac{1}{3}$ (x - 9) ← distribute

y + 6 = $\frac{1}{3}$ x - 3 ( subtract 6 from both sides )

y = $\frac{1}{3}$ x - 9 ← in slope- intercept form

3 0

3 years ago

Read 2 more answers

Regroup to express the number in a different way.

MrRissso [65]

Answer:

add 1 hundred because you put a 1 instead of a 2

but the answer is 5 tens

3 0

3 years ago