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Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order

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Bunuel
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Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order [#permalink] New post   08 Oct 2021, 02:45
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Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order to keep the distance travelled same, by what percentage should the time ‘t’ be increased if the speed drops down by 20%?

(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 35%
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C
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Re: Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order [#permalink] New post   08 Oct 2021, 03:18
Let the distance = 80

Speed = 20
Therefore Time = 4

If the speed drops by 20%, Speed then = 16.
To cover 80m going at a speed of 16mph will take 5 hours.

The percent change will be \(\frac{(New Time - Original Time)}{Original Time} * 100\)

\(\frac{(5 - 4)}{4} * 100\)

\(\frac{1}{4} * 100\)

\(25%\)

Answer C
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Re: Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order [#permalink] New post   08 Oct 2021, 03:39
Bunuel wrote:
Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order to keep the distance travelled same, by what percentage should the time ‘t’ be increased if the speed drops down by 20%?

(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 35%


let x be the amount of time to be increased

20t =d = 16*(t+x)

=> t/4 =x

Therefore the amount of time to increase is 25 percent
Therefore IMO C
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Re: Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order [#permalink] New post   08 Oct 2021, 11:00
Given info
20*t=(t+x)*16
4t=16x
x=.25t
Option C


Bunuel wrote:
Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order to keep the distance travelled same, by what percentage should the time ‘t’ be increased if the speed drops down by 20%?

(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 35%


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Re: Speed of Jane is 20 mph, with which he travels for ‘t’ hours. In order [#permalink]
08 Oct 2021, 11:00
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