Step-by-step explanation: Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

$d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.$

Similarly,

In 7 minutes, distance run by Lars = 1 mile.

So, in 1 minute, distance travelled by Lars will be

$d_L=\dfrac{1}{7}=\dfrac{9}{63}~\textup{miles}.$

Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be

$d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.$

Now, difference between Lars and Gavin's rate of runnings is

$\dfrac{9}{63}-\dfrac{7}{63}=\dfrac{2}{63}.$

Therefore, the time taken by Lars to reach Gavin is given by

$t=\dfrac{\frac{70}{63}}{\frac{2}{63}}=35.$

Thus, the required time is 365 minutes.

6 0

3 years ago

Which expression is a factor of 16x^2-81

krek1111 [17]

Answer:

Step-by-step explanation:

Reasoning: the square root of 16 is 4 and 81 square root is 9

so it is b pls give brainliest! have a good day

3 0

2 years ago

Can someone please help

Leona [35]

Answer:

each hamburger costs $3.50

Step-by-step explanation:

he spent $13 in total and bought one hot dog for $2.50 and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equaton,

2.50 + 3h = 13 now solve for x

-2.50 2.50

3h = 10.50

h=3.50

check:

2.50+3(3.50)=13

2.50+10.50=13

13=13

4 0

3 years ago