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A car starts from city A and it travels 50 km in a straight line to city B. Immediately it turns around, and returns to city A. It took 2 hours for this round trip. The average speed of the car for this round trip is:
- a)0 km/h
- b)25 km/h
- c)50 km/h
- d)100 km/h
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A car starts from city A and it travels 50 km in a straight line to ci...
Explanation:
To find the average speed of the car, we need to use the formula:
Average speed = Total distance ÷ Total time
1. Total distance:
The car travels from city A to B and then back to city A. Therefore, the total distance covered is:
Distance from A to B + Distance from B to A = 50 km + 50 km = 100 km
2. Total time:
The car takes 2 hours for the round trip, which includes the time taken to travel from A to B and back. Therefore, the total time taken is:
Time taken to go from A to B + Time taken to go from B to A = x + x = 2x
where x is the time taken to go from A to B or from B to A.
We can find the value of x by using the formula:
Distance = Speed × Time
For the distance from A to B, we know the distance is 50 km and the time taken is x. We don't know the speed, so we use a variable s for speed:
50 km = s × x
Similarly, for the distance from B to A, we have:
50 km = s × (2x - x) = s × x
Solving these two equations, we get:
x = 1 hour
Therefore, the total time taken for the round trip is:
2x = 2 hours
3. Average speed:
Using the formula for average speed, we have:
Average speed = Total distance ÷ Total time
= 100 km ÷ 2 hours
= 50 km/h
Therefore, the average speed of the car for this round trip is 50 km/h.
Conclusion:
The car travels from city A to B and back to city A in 2 hours. The total distance covered is 100 km, and the average speed of the car is 50 km/h.
To find the average speed of the car, we need to use the formula:
Average speed = Total distance ÷ Total time
1. Total distance:
The car travels from city A to B and then back to city A. Therefore, the total distance covered is:
Distance from A to B + Distance from B to A = 50 km + 50 km = 100 km
2. Total time:
The car takes 2 hours for the round trip, which includes the time taken to travel from A to B and back. Therefore, the total time taken is:
Time taken to go from A to B + Time taken to go from B to A = x + x = 2x
where x is the time taken to go from A to B or from B to A.
We can find the value of x by using the formula:
Distance = Speed × Time
For the distance from A to B, we know the distance is 50 km and the time taken is x. We don't know the speed, so we use a variable s for speed:
50 km = s × x
Similarly, for the distance from B to A, we have:
50 km = s × (2x - x) = s × x
Solving these two equations, we get:
x = 1 hour
Therefore, the total time taken for the round trip is:
2x = 2 hours
3. Average speed:
Using the formula for average speed, we have:
Average speed = Total distance ÷ Total time
= 100 km ÷ 2 hours
= 50 km/h
Therefore, the average speed of the car for this round trip is 50 km/h.
Conclusion:
The car travels from city A to B and back to city A in 2 hours. The total distance covered is 100 km, and the average speed of the car is 50 km/h.
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Community Answer
A car starts from city A and it travels 50 km in a straight line to ci...
Average speed = total distance/ total time = 50+50/ 2= 50 kmph
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A car starts from city A and it travels 50 km in a straight line to city B. Immediately it turns around, and returns to city A. It took 2 hours for this round trip. The average speed of the car for this round trip is:a)0 km/hb)25 km/hc)50 km/hd)100 km/hCorrect answer is option 'C'. Can you explain this answer?
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