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# Brenda walked a 12-mile scenic loop in 3 hours. If she then

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Brenda walked a 12-mile scenic loop in 3 hours. If she then [#permalink]  18 Jun 2018, 14:55
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Brenda walked a 12-mile scenic loop in 3 hours. If she then reduced her walking speed by half, how many hours would it take Brenda to walk the same scenic loop two more times?

(A) 6
(B) 8
(C) 12
(D) 18
(E) 24
[Reveal] Spoiler: OA

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Re: Brenda walked a 12-mile scenic loop in 3 hours. If she then [#permalink]  23 Jun 2018, 11:36
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sandy wrote:
Brenda walked a 12-mile scenic loop in 3 hours. If she then reduced her walking speed by half, how many hours would it take Brenda to walk the same scenic loop two more times?

(A) 6
(B) 8
(C) 12
(D) 18
(E) 24

Here speed of Brenda = $$\frac{12}{3}$$= 4 mile/hr

Now she reduced the speed by half i.e the speed = 2 mile/hr

Now to complete 12 mile loop two times, time required = $$\frac{(2 * 12)}{2}$$ = 12 hrs
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Re: Brenda walked a 12-mile scenic loop in 3 hours. If she then [#permalink]  25 Jun 2018, 08:09
Brenda's speed = 12/3 = 4 miles/hour

She reduced the speed by half. So, the new speed = 2 miles/hour

To complete 12 mile loop two times (total distance 24 miles) at 2 miles/hour speed, time required = 24/2 = 12 hours

Ans. C
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
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Re: Brenda walked a 12-mile scenic loop in 3 hours. If she then [#permalink]  10 Jul 2018, 05:28
Expert's post
Explanation

This question compares an actual scenario with a hypothetical one. Start by figuring out the rate (speed) for Brenda’s actual walk. Since she walked 12 miles in 3 hours, she walked at a rate of 12 ÷ 3 = 4 miles per hour.

Now, in the hypothetical situation, she would walk the loop two more times, for a total additional distance of 12 × 2 = 24 miles. Her hypothetical speed would be half of 4 miles per hour, or 2 miles per hour.

Walking 24 miles at a rate of 2 miles per hour would take Brenda 24 ÷ 2 = 12 hours.

Alternatively, note that both of the changes—doubling the distance and halving the rate—have the same effect: Each change makes the trip take twice as long as it would have before. So the time required for this hypothetical situation is multiplied by four: 3 × 4 = 12 hours.
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Re: Brenda walked a 12-mile scenic loop in 3 hours. If she then   [#permalink] 10 Jul 2018, 05:28
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