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A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

Re: A car averages 55 mph for the first 4 hours of a trip and averages 70 [#permalink]

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02 Nov 2015, 09:04

1

This post received KUDOS

Let the time for which car averages 70 mph = t

60*(t+4)= 55*4 + 70 t =>10 t= 20 => t = 2

Total duration of the trip = 4+2=6

Answer A
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Re: A car averages 55 mph for the first 4 hours of a trip and averages 70 [#permalink]

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23 Nov 2015, 09:02

Bunuel wrote:

A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

A. 6 B. 8 C. 11 D. 12 E. 14

Distance travelled by the car in the first 4 hours is 55*4 = 220 miles

Let the time the car travelled after the first 4 hours be "t"

The total distance covered by the car in " t + 4 " hours is 220 + 70t = 60 ( t + 4)

Or, 220 + 70t = 60t + 240 Or, 10t = 20 Or, t = 2

So the time travelled by the car after the initial 4 hour is 2 hours.

Total time taken by the car is 4 + 2 = 6 Hours. _________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

A. 6 B. 8 C. 11 D. 12 E. 14

Distance travelled in first 4 hours = 55*4 = 220 miles

Let, remaining Time = t

i.e. Remaining Distance = 70*t

Total Distance = 60*(4+t)

i.e. 60*(4+t) = 220+70t

i.e. 240+60t = 220+70t i.e. t = 2

i.e. Total Distance = 60*(4+t) = 60*(4+2) = 360 Total Time = 4+2 = 6 hours

Answer: option A
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Re: A car averages 55 mph for the first 4 hours of a trip and averages 70 [#permalink]

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03 Aug 2017, 05:59

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A car averages 55 mph for the first 4 hours of a trip and averages 70 [#permalink]

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05 Aug 2017, 00:58

by deduction (without using calculation), we should be able to establish that the number will be closer to the 4hr++ mark as avg speed of both was 60mph (ie closer to 55mph than 70mph) - 6hrs to be the most "reasonable" option.

A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

A. 6 B. 8 C. 11 D. 12 E. 14

We can let the time for the remainder of the trip = t, and thus:

average speed = (distance 1 + distance 2)/(time 1 + time 2)

60 = (55 x 4 + 70t)/(4 + t)

60(4 + t) = 220 + 70t

240 + 60t = 220 + 70t

20 = 10t

t = 2

Thus, the trip was 4 + 2 = 6 hours.

Answer: A
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