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The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?
- a)456 kms
- b)482 kms
- c)552 kms
- d)556 kms
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The speed of a car increases by 2 kms after every one hour. If the dis...
Total distance travelled in 12 hours
= (35 + 37+ 39 +.....upto 12 terms)
This is an A. P with first term, a = 35, number of terms, n = 12, d = 2
Required distance = 12/2 [2 x 35 + (12 - 1) x 2] = 6 (70 + 22) = 552 kms.
= (35 + 37+ 39 +.....upto 12 terms)
This is an A. P with first term, a = 35, number of terms, n = 12, d = 2
Required distance = 12/2 [2 x 35 + (12 - 1) x 2] = 6 (70 + 22) = 552 kms.
Most Upvoted Answer
The speed of a car increases by 2 kms after every one hour. If the dis...
Speed of the car after every one hour = 2 km/hr
Distance travelled in the first one hour = 35 km
We need to find the total distance travelled in 12 hours.
To find the total distance travelled, we can use the formula:
Total Distance = Distance travelled in the first hour + Distance travelled in the second hour + Distance travelled in the third hour + ... + Distance travelled in the twelfth hour
Let's calculate the distance travelled in each hour and then add them up.
1. Distance travelled in the first hour = 35 km (given)
2. Distance travelled in the second hour = Speed after first hour * Time = 2 km/hr * 1 hr = 2 km
3. Distance travelled in the third hour = Speed after second hour * Time = 4 km/hr * 1 hr = 4 km
4. Distance travelled in the fourth hour = Speed after third hour * Time = 6 km/hr * 1 hr = 6 km
...
12. Distance travelled in the twelfth hour = Speed after eleventh hour * Time = 22 km/hr * 1 hr = 22 km
Now, let's add up all the distances:
Total Distance = 35 km + 2 km + 4 km + 6 km + ... + 22 km
To make it easier to calculate, we can see that the distances form an arithmetic progression with a common difference of 2 km and a first term of 35 km.
The formula to find the sum of an arithmetic progression is:
Sum = (n/2) * (first term + last term)
In this case, n = 12 (as there are 12 terms) and the last term = 35 + (12-1)*2 = 35 + 22 = 57 km
Plugging in these values into the formula, we get:
Total Distance = (12/2) * (35 + 57) = 6 * 92 = 552 km
Therefore, the total distance travelled in 12 hours is 552 km, which corresponds to option C.
Distance travelled in the first one hour = 35 km
We need to find the total distance travelled in 12 hours.
To find the total distance travelled, we can use the formula:
Total Distance = Distance travelled in the first hour + Distance travelled in the second hour + Distance travelled in the third hour + ... + Distance travelled in the twelfth hour
Let's calculate the distance travelled in each hour and then add them up.
1. Distance travelled in the first hour = 35 km (given)
2. Distance travelled in the second hour = Speed after first hour * Time = 2 km/hr * 1 hr = 2 km
3. Distance travelled in the third hour = Speed after second hour * Time = 4 km/hr * 1 hr = 4 km
4. Distance travelled in the fourth hour = Speed after third hour * Time = 6 km/hr * 1 hr = 6 km
...
12. Distance travelled in the twelfth hour = Speed after eleventh hour * Time = 22 km/hr * 1 hr = 22 km
Now, let's add up all the distances:
Total Distance = 35 km + 2 km + 4 km + 6 km + ... + 22 km
To make it easier to calculate, we can see that the distances form an arithmetic progression with a common difference of 2 km and a first term of 35 km.
The formula to find the sum of an arithmetic progression is:
Sum = (n/2) * (first term + last term)
In this case, n = 12 (as there are 12 terms) and the last term = 35 + (12-1)*2 = 35 + 22 = 57 km
Plugging in these values into the formula, we get:
Total Distance = (12/2) * (35 + 57) = 6 * 92 = 552 km
Therefore, the total distance travelled in 12 hours is 552 km, which corresponds to option C.
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The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer?
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The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer?.
The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?a)456 kmsb)482 kmsc)552 kmsd)556 kmsCorrect answer is option 'C'. Can you explain this answer?.
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