SDT Practice SET – 1
Speed, Distance & Time: Level 1
1.
A car travels at a constant speed of 50 miles per hour. How far does it travel in 3.5 hours?
Solution (C):
\( D = R \times T \).
\( D = 50 \times 3.5 = 175 \) miles.
2.
If a runner completes a 10 km race in 50 minutes, what is her average speed in km per hour?
Solution (B):
Time in hours = \( 50/60 = 5/6 \) hours.
\( R = D/T = 10 \div (5/6) = 10 \times \frac{6}{5} = 12 \) km/h.
3.
A train travels 120 miles in 2 hours and 180 miles in the next 3 hours. What is the average speed for the entire trip?
Solution (D):
Total Distance = \( 120 + 180 = 300 \) miles.
Total Time = \( 2 + 3 = 5 \) hours.
Average Speed = \( 300/5 = 60 \) mph.
4.
Two cars start at the same point and travel in opposite directions. One travels at 40 mph and the other at 50 mph. How far apart will they be after 2 hours?
Solution (A):
Relative speed (opposite direction) = \( 40 + 50 = 90 \) mph.
Distance = \( 90 \times 2 = 180 \) miles.
5.
John walks at 4 mph. How many minutes will it take him to walk 1 mile?
Solution (E):
Time (hours) = \( D/R = 1/4 \) hour.
Time (minutes) = \( 1/4 \times 60 = 15 \) minutes.
6.
A plane flies 600 miles in 1.5 hours. What is its average speed?
Solution (B):
\( R = D/T = 600 / 1.5 = 6000 / 15 = 400 \) mph.
7.
If you drive at 60 mph for 30 minutes and then at 30 mph for 30 minutes, what is your total distance?
Solution (C):
Leg 1: 30 min = 0.5 hr. \( 60 \times 0.5 = 30 \) miles.
Leg 2: 30 min = 0.5 hr. \( 30 \times 0.5 = 15 \) miles.
Total = \( 30 + 15 = 45 \) miles.
8.
A cyclist travels \(x\) miles in \(y\) hours. What is the speed in miles per hour?
Solution (D):
Speed = Distance / Time = \( x / y \).
9.
If a bus travels 100 meters in 5 seconds, what is its speed in meters per second?
Solution (A):
\( 100 / 5 = 20 \) m/s.
10.
How long will it take to travel 240 miles at a speed of 40 mph?
Solution (B):
\( T = D/R = 240/40 = 6 \) hours.
Score: 0 / 0