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James took a 3-hour bike ride. In the second hour he travlled 18 miles

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James took a 3-hour bike ride. In the second hour he travlled 18 miles  [#permalink]

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New post 25 Jul 2018, 02:14
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Question Stats:

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James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?

A) 54.0
B) 54.9
C) 55.5
D) 57.0
E) 63.0

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James took a 3-hour bike ride. In the second hour he travlled 18 miles  [#permalink]

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New post 25 Jul 2018, 02:36
In the second hour James travelled 18 miles

which was 20 percent farther than he traveled the first => \(\frac{120}{100} * x\) = 18

=> x = distance traveled in first hour = \(\frac{18 * 100}{120}\) = 15

James traveled 25 percent farther in the third hour than he did in the second hour

=> y = \(\frac{125}{100} * 18\) = \(\frac{5}{4} * 18\) = 22.5

Total distance traveled = 15 + 18 + 22.5 = 55.5

Hence option C
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Re: James took a 3-hour bike ride. In the second hour he travlled 18 miles  [#permalink]

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New post 25 Jul 2018, 23:50

Solution



Given:
    • James took a 3-hour bike ride
    • In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour
    • He traveled 25 percent farther in the third hour than he did in the second hour

To find:
    • How many miles did James travel during the entire journey

Approach and Working:
James travelled 18 miles in second hour, which was 20% more than what he travelled in first hour
    • In first hour, James travelled = 18/1.2 = 15 miles

In third hour, James travelled 25% more than what he travelled in second hour
    • In third hour, James travelled = 18 * 1.25 = 22.5 miles

    • Therefore, the total distance travelled = (15 + 18 + 22.5) miles = 55.5 miles

Hence, the correct answer is option C.

Answer: C
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Re: James took a 3-hour bike ride. In the second hour he travlled 18 miles  [#permalink]

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New post 30 Jul 2018, 11:29
Bunuel wrote:
James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?

A) 54.0
B) 54.9
C) 55.5
D) 57.0
E) 63.0


We can create the equations:

18 = 1.2F

18/1.2 = 15 = the distance traveled in the first hour

and

18 x 1.25 = 22.5 = the distance traveled in the third hour

So, in total, James traveled 18 + 15 + 22.5 = 55.5 miles.

Answer: C
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Re: James took a 3-hour bike ride. In the second hour he travlled 18 miles &nbs [#permalink] 30 Jul 2018, 11:29
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