If a car travels 150 kilometers in 3 hours, what is its average speed? A. 50 kph B. 60 kph C. 70 kph D. 80 kph 2. A provincial bus travels for 7 hours at an average speed of 82 km/h. How far does it travel? A. 189 km B. 375 km C. 574 km D. 590 km 3. If Ben traveled 150 miles in 3 hours, 120 miles in 2 hours, and 70 miles in 1 hour, what was his average for the entire trip? A. 56.67 mph B. 56.76 mph C. 56.68 mph D. 56.86 mph
The Correct Answer and Explanation is:
- Car’s Average Speed:
The formula for average speed is: Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}Average Speed=Total TimeTotal Distance
Given that the car travels 150 kilometers in 3 hours, the average speed can be calculated as: Average Speed=150 km3 hours=50 km/h\text{Average Speed} = \frac{150 \text{ km}}{3 \text{ hours}} = 50 \text{ km/h}Average Speed=3 hours150 km=50 km/h
Thus, the correct answer is A. 50 kph.
- Bus Distance Traveled:
To calculate the distance traveled by the bus, we use the formula for distance: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}Distance=Speed×Time
Given that the bus travels for 7 hours at an average speed of 82 km/h, we can calculate the distance: Distance=82 km/h×7 hours=574 km\text{Distance} = 82 \text{ km/h} \times 7 \text{ hours} = 574 \text{ km}Distance=82 km/h×7 hours=574 km
Thus, the correct answer is C. 574 km.
- Ben’s Average Speed:
To find Ben’s average speed for the entire trip, we need to first calculate the total distance traveled and the total time taken.
- Total Distance:
Ben traveled:
- 150 miles in 3 hours
- 120 miles in 2 hours
- 70 miles in 1 hour
The total distance is: Total Distance=150+120+70=340 miles\text{Total Distance} = 150 + 120 + 70 = 340 \text{ miles}Total Distance=150+120+70=340 miles
- Total Time:
The total time is: Total Time=3 hours+2 hours+1 hour=6 hours\text{Total Time} = 3 \text{ hours} + 2 \text{ hours} + 1 \text{ hour} = 6 \text{ hours}Total Time=3 hours+2 hours+1 hour=6 hours
Now, we calculate the average speed: Average Speed=340 miles6 hours=56.67 mph\text{Average Speed} = \frac{340 \text{ miles}}{6 \text{ hours}} = 56.67 \text{ mph}Average Speed=6 hours340 miles=56.67 mph
Thus, the correct answer is A. 56.67 mph.
These types of questions are all based on fundamental concepts in motion and speed calculations, where it’s crucial to know how to apply basic formulas for speed, distance, and time.
