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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Bill spends two days driving from Point A to Point B.
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18 Dec 2018, 07:21
18 Dec 2018, 07:21
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67% (03:11) correct
32% (03:56) wrong based on 37 sessions
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Bill spends two days driving from Point A to Point B. On the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. If during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?
Show: ::
35
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Bill spends two days driving from Point A to Point B.
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20 Dec 2018, 07:25
20 Dec 2018, 07:25
1
GreenlightTestPrep wrote:
Bill spends two days driving from Point A to Point B. On the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. If during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?
Show: ::
35
First recognize that we have TWO pieces of information regarding the time Bill spent driving each day.
On day 1, Bill drove 2 hours longer than he drove on day 2.
So, let x = # of driving hours on day 2
Then x + 2 = # of driving hours on day 1
Bill drove a TOTAL of 18 hours
So, x + (x + 2) = 18
Simplify: 2x + 2 = 18
Solve, x = 8
So, Bill drove 10 hours on day 1 and he drove 8 hours on day 2
Now let's solve the question by starting with a word equation.
Let x = speed driven on day 2
So, x + 5 = speed driven on day 1
(Distance traveled on day 1) + (Distance traveled on day 2) = 680
Distance = (rate)(time)
We get: (x+ 5)(10) + (x)(8) = 680
Expand: 10x + 50 + 8x = 680
Simplify: 18x + 50 = 680
18x = 630
x = 35 (mph)
Answer: 35
Re: Bill spends two days driving from Point A to Point B.
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21 Dec 2018, 10:04
21 Dec 2018, 10:04
1
the trick here is to keep in mind that distance is the quantity that can be added.
so in order to solve the question get everything in terms of distance using the formula
speed = distance / time
so in order to solve the question get everything in terms of distance using the formula
speed = distance / time
