Question

monday
how long will it take you
to drive 175 miles at a
speed of 25 miles per
hour?

fill in the blank
6 inches = ______ feet

tuesday
how long will it take you
to ski a distance of 35
miles at a speed of 3
miles per 30 minutes.

fill in the blank
2.5 gallons = ______
cups

wednesday
you drive your car for 3
hours at an average
speed of 130 km per
hour. how far did you
go?

fill in the blank
3 miles = ______ feet

thursday
you fly in a helicopter
for 20 minutes that
goes at a speed of 240
km per hour. how far
did you go?

fill in the blank
7.5 quarts = ______
pints

Explanation:

Monday Problem (Drive 175 miles at 25 mph, find time)

Step1: Recall the formula \( \text{time} = \frac{\text{distance}}{\text{speed}} \)

We know distance \( d = 175 \) miles and speed \( s = 25 \) miles per hour.

Step2: Substitute values into the formula

\( \text{time} = \frac{175}{25} \)

Step3: Calculate the result

\( \frac{175}{25} = 7 \)

Step1: Convert speed to miles per hour. Since 3 miles in 30 minutes (0.5 hours), speed \( s = \frac{3}{0.5} = 6 \) miles per hour.

Step2: Use \( \text{time} = \frac{\text{distance}}{\text{speed}} \), distance \( d = 35 \) miles, speed \( s = 6 \) mph.

\( \text{time} = \frac{35}{6} \approx 5.83 \) hours (or 5 hours and 50 minutes, but as a decimal, approximately 5.83)

Step1: Recall the formula \( \text{distance} = \text{speed} \times \text{time} \)

Speed \( s = 130 \) km/h, time \( t = 3 \) hours.

Step2: Substitute values

\( \text{distance} = 130 \times 3 \)

Step3: Calculate

\( 130 \times 3 = 390 \)

Answer:

7 hours

Tuesday Problem (Ski 35 miles at 3 miles per 30 minutes, find time)