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The speed of a car increases by 2 kms after every one hour. If the dis

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dharam44
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The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   12 Nov 2018, 04:04
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The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 km
B) 482 km
C) 552 km
D) 556 km
E) 345 km
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C
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KarishmaB
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The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   Updated on: 20 Oct 2022, 05:09
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dharam44 wrote:
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 km
B) 482 km
C) 552 km
D) 556 km
E) 345 km


Speed in first hour = Distance/time = 35 kmph
Speed in every subsequent hour is 2 more so 37 kmph, 39 kmph ...

Total distance travelled in 12 hrs will be the sum of distances travelled in each of these 12 hrs:

35 + 37 + 39 + 41 + ...

Sum = (n/2)*[2a + (n - 1)*d]

Sum = (12/2)*[2*35 + (12 - 1)*2]

Sum = 6 * [70 + 22] = 552 km

Answer (C)

Originally posted by KarishmaB on 14 Nov 2018, 11:23.
Last edited by KarishmaB on 20 Oct 2022, 05:09, edited 1 time in total.
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   14 Nov 2018, 09:06
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x= (12/2) * {2*35 + (12-1)2} = 6 * {70 + 11*2} = 6*92 = 552 .... Ans C
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   12 Nov 2018, 07:52
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It's an AP with cd = 2
35 + 37 +..57

Ans C
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The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   15 Nov 2018, 03:14
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dharam44 wrote:
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 km
B) 482 km
C) 552 km
D) 556 km
E) 345 km


As a lot of the previous solutions have already pointed out the total distance
is the sum of an AP which starts with 35 and ends with 57.

This is a method which can be used if one doesn't know the AP sum formula

Write the distances travelled in the individual hours down
35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57

We observe that there are 5 such pairs all of which add to 90.
35 + 55 = 37 + 53 = 39 + 51 = 41 + 49 = 43 + 47 = 90

Therefore, the sum of the distance travelled is 90*5 + 45 + 57 = 495 + 57 = 552(Option C)
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   16 Nov 2018, 13:00
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Average = (35+57)/2 = 46
Average*12 = Result
41 * 12 = 552
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   14 Nov 2018, 11:51
OA:C

Total Distance traveled in \(12\) hours = Sum of A.P series with \(a=35,d=2\),and \(n=12\) i.e \(\frac{12}{2}*[2*35+(12-1)2]=6[70+22]=552\) Kms.
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The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   16 Nov 2018, 07:58
OA:C

Total Distance covered = Speed * Time \(=(35+37+39+41+43+45+47+49+51+53+55+57)*1=552\) kms
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   04 Dec 2018, 00:06
pushpitkc wrote:
dharam44 wrote:
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 km
B) 482 km
C) 552 km
D) 556 km
E) 345 km


As a lot of the previous solutions have already pointed out the total distance
is the sum of an AP which starts with 35 and ends with 57.

This is a method which can be used if one doesn't know the AP sum formula

Write the distances travelled in the individual hours down
35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57

We observe that there are 5 such pairs all of which add to 90.
35 + 55 = 37 + 53 = 39 + 51 = 41 + 49 = 43 + 47 = 90

Therefore, the sum of the distance travelled is 90*5 + 45 + 57 = 495 + 57 = 552(Option C)


this is how i did it too..but the use of the AP formula was a good revision..:)
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink] New post   24 Nov 2022, 23:40
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Re: The speed of a car increases by 2 kms after every one hour. If the dis [#permalink]
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