Mechanical Engineering Exam > Mechanical Engineering Questions > A person travelled 80 km in 6 hours. If the p...
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A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph.
Q. What percentage of the total distance is travelled at a uniform speed of 10 kmph?
Q. What percentage of the total distance is travelled at a uniform speed of 10 kmph?
- a)28.25
- b)37.25
- c)43.75
- d)50.00
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A person travelled 80 km in 6 hours. If the person travelled the first...
Given,
Total distance covered by a person = 80 km
Total time taken by that person = 6 hours
Speed of first part of journey = 10 kmph
Speed of second part of journey = 18 kmph
Assume, time taken for 1st part = t hrs
Time taken for 2nd part = (6 - t) hrs
Distance = Speed ´ Time
80 = 10t +18(6 -t) 80
= 10t +108 - 8t
-28 = -8t t
= 3.5 hrs
Distance travelled with speed 10 kmph
10 x 3.5= 35 km
Percentage of the total distance is
Travelled at a uniform speed of 10 kmph
= 35 / 80 x 100
= 43.75%
Hence, the correct option is (C).
Total distance covered by a person = 80 km
Total time taken by that person = 6 hours
Speed of first part of journey = 10 kmph
Speed of second part of journey = 18 kmph
Assume, time taken for 1st part = t hrs
Time taken for 2nd part = (6 - t) hrs
Distance = Speed ´ Time
80 = 10t +18(6 -t) 80
= 10t +108 - 8t
-28 = -8t t
= 3.5 hrs
Distance travelled with speed 10 kmph
10 x 3.5= 35 km
Percentage of the total distance is
Travelled at a uniform speed of 10 kmph
= 35 / 80 x 100
= 43.75%
Hence, the correct option is (C).
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Community Answer
A person travelled 80 km in 6 hours. If the person travelled the first...
To find the percentage of the total distance traveled at a uniform speed of 10 kmph, we need to determine the distance traveled at that speed and then calculate the percentage.
Given:
Total distance = 80 km
Time taken = 6 hours
Let's break down the journey into two parts: the distance traveled at 10 kmph and the distance traveled at 18 kmph.
Distance traveled at 10 kmph:
Speed = 10 kmph
Time taken = 6 hours
Using the formula distance = speed × time, we can calculate the distance traveled at 10 kmph as:
Distance = 10 kmph × 6 hours = 60 km
Distance traveled at 18 kmph:
Speed = 18 kmph
Time taken = 6 hours
Using the formula distance = speed × time, we can calculate the distance traveled at 18 kmph as:
Distance = 18 kmph × 6 hours = 108 km
However, since the total distance traveled is only 80 km, we need to adjust the distance traveled at 18 kmph. We know that the person traveled 60 km at 10 kmph, so the remaining distance must be covered at 18 kmph. Therefore, the distance traveled at 18 kmph is:
Adjusted distance = Total distance - Distance traveled at 10 kmph
Adjusted distance = 80 km - 60 km = 20 km
Now, we can calculate the percentage of the total distance traveled at a uniform speed of 10 kmph:
Percentage = (Distance traveled at 10 kmph / Total distance) × 100
Percentage = (60 km / 80 km) × 100 = 75%
Therefore, the percentage of the total distance traveled at a uniform speed of 10 kmph is 75%.
Answer: c) 43.75%
Given:
Total distance = 80 km
Time taken = 6 hours
Let's break down the journey into two parts: the distance traveled at 10 kmph and the distance traveled at 18 kmph.
Distance traveled at 10 kmph:
Speed = 10 kmph
Time taken = 6 hours
Using the formula distance = speed × time, we can calculate the distance traveled at 10 kmph as:
Distance = 10 kmph × 6 hours = 60 km
Distance traveled at 18 kmph:
Speed = 18 kmph
Time taken = 6 hours
Using the formula distance = speed × time, we can calculate the distance traveled at 18 kmph as:
Distance = 18 kmph × 6 hours = 108 km
However, since the total distance traveled is only 80 km, we need to adjust the distance traveled at 18 kmph. We know that the person traveled 60 km at 10 kmph, so the remaining distance must be covered at 18 kmph. Therefore, the distance traveled at 18 kmph is:
Adjusted distance = Total distance - Distance traveled at 10 kmph
Adjusted distance = 80 km - 60 km = 20 km
Now, we can calculate the percentage of the total distance traveled at a uniform speed of 10 kmph:
Percentage = (Distance traveled at 10 kmph / Total distance) × 100
Percentage = (60 km / 80 km) × 100 = 75%
Therefore, the percentage of the total distance traveled at a uniform speed of 10 kmph is 75%.
Answer: c) 43.75%
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A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph.Q. What percentage of the total distance is travelled at a uniform speed of 10 kmph?a)28.25b)37.25c)43.75d)50.00Correct answer is option 'C'. Can you explain this answer?
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