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A car covers the first 30 km at a speed of 60 kmph and the next 20 km at 80 kmph. Find the average speed?
- a)65.67 kmph
- b)65.33 kmph
- c)66.33 kmph
- d)66.67 kmph
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A car covers the first 30 km at a speed of 60 kmph and the next 20 km ...
We know that if a man covers a distance d1 km at s1km/hr and then d2 km at s2 km/hr, then the average speed during the whole journey = [s1s2(d1 + d2)]/(s1d2 + s2d1)
s1 = 60kmph, s2 = 80kmph, d1 = 30km, and d2 = 20km.
⇒ Average speed = [60 × 80 (30 + 20)]/(60 × 20 + 80 × 30) = 240000/3600 = 66.67 kmph
Most Upvoted Answer
A car covers the first 30 km at a speed of 60 kmph and the next 20 km ...
To find the average speed, we need to calculate the total distance covered and the total time taken.
Given:
Distance covered in the first 30 km = 30 km
Speed in the first 30 km = 60 kmph
Distance covered in the next 20 km = 20 km
Speed in the next 20 km = 80 kmph
Finding the total distance covered:
Total distance = Distance in the first 30 km + Distance in the next 20 km
Total distance = 30 km + 20 km
Total distance = 50 km
Finding the total time taken:
Time taken in the first 30 km = Distance / Speed
Time taken in the first 30 km = 30 km / 60 kmph
Time taken in the first 30 km = 0.5 hours
Time taken in the next 20 km = Distance / Speed
Time taken in the next 20 km = 20 km / 80 kmph
Time taken in the next 20 km = 0.25 hours
Total time taken = Time taken in the first 30 km + Time taken in the next 20 km
Total time taken = 0.5 hours + 0.25 hours
Total time taken = 0.75 hours
Finding the average speed:
Average speed = Total distance / Total time taken
Average speed = 50 km / 0.75 hours
Average speed = 66.67 kmph
Therefore, the average speed of the car is 66.67 kmph.
Given:
Distance covered in the first 30 km = 30 km
Speed in the first 30 km = 60 kmph
Distance covered in the next 20 km = 20 km
Speed in the next 20 km = 80 kmph
Finding the total distance covered:
Total distance = Distance in the first 30 km + Distance in the next 20 km
Total distance = 30 km + 20 km
Total distance = 50 km
Finding the total time taken:
Time taken in the first 30 km = Distance / Speed
Time taken in the first 30 km = 30 km / 60 kmph
Time taken in the first 30 km = 0.5 hours
Time taken in the next 20 km = Distance / Speed
Time taken in the next 20 km = 20 km / 80 kmph
Time taken in the next 20 km = 0.25 hours
Total time taken = Time taken in the first 30 km + Time taken in the next 20 km
Total time taken = 0.5 hours + 0.25 hours
Total time taken = 0.75 hours
Finding the average speed:
Average speed = Total distance / Total time taken
Average speed = 50 km / 0.75 hours
Average speed = 66.67 kmph
Therefore, the average speed of the car is 66.67 kmph.
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A car covers the first 30 km at a speed of 60 kmph and the next 20 km at 80 kmph. Find the average speed?a)65.67 kmphb)65.33 kmphc)66.33 kmphd)66.67 kmphCorrect answer is option 'D'. Can you explain this answer?
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