Question

AT 1:00 pm, Kahlil hops in his car and drives at a constant speed of 35 mph for 12 minutes to the grocery store. After 15 minutes at the grocery store he realizes he is late and drives at a constant speed of 40 mph to the school, arriving at 1:42 p.m. He then spends 20 minutes at school, buying tickets for the game.How far is the grocery store from the school in miles?

Answer 1

Let's begin by listing out the information given to us:

Kahlil starts at 1:00 pm

Kahlil drives for 12 minutes at a speed of 35mph; he arrived at 1:12 pm

Kahlil spends 15 minutes at the store; he departed the store at 1:27 pm

Kahlil drives at 40mph till he arrived at school at 1:42 pm; it took him 15 minutes

Kahlil stays at school for 20 minutes to buy tickets

How far is the grocery store from the school in miles is calculated by using the information highlighted above

`\begin{gathered} speed(v)=(distance\mleft(d\mright))/(time(t)) \\ v=40mph,t=15minutes=(15)/(60)hours=(1)/(4)hours \\ \text{Substitute the values of v \& t into the equation, we have:} \\ 40=(d)/((1)/(4))\Rightarrow40=(4d)/(1)\Rightarrow40=4d \\ 40=4d\Rightarrow4d=40 \\ 4d=40 \\ d=(40)/(4)=10 \\ d=10miles \end{gathered}`