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# Distance between Smith's house and office is D km. On Monday, Smith tr

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Distance between Smith's house and office is D km. On Monday, Smith tr  [#permalink]

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06 Dec 2019, 05:35
00:00

Difficulty:

75% (hard)

Question Stats:

54% (02:05) correct 46% (02:11) wrong based on 34 sessions

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Distance between Smith's house and office is D km. On Monday, Smith traveled to his office at M km/hr for the first 20 km, and the rest at a speed of 1.25M km/hr. On, Tuesday, Smith traveled the same distance at a speed of M km/hr. what is ratio of time taken by Smith to travel from his house to office on Monday and Tuesday?

(1) $$M = 48$$
(2) $$D = 40$$

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Distance between Smith's house and office is D km. On Monday, Smith tr  [#permalink]

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Updated on: 08 Dec 2019, 00:43
target
(20/m +d-20/ 1.25M / D/M

#1
M= 48
insufficient
as D is not know
#2
D= 40
sufficient ;

IMO b;

Bunuel wrote:
Distance between Smith's house and office is D km. On Monday, Smith traveled to his office at M km/hr for the first 20 km, and the rest at a speed of 1.25M km/hr. On, Tuesday, Smith traveled the same distance at a speed of M km/hr. what is ratio of time taken by Smith to travel from his house to office on Monday and Tuesday?

(1) $$M = 48$$
(2) $$D = 40$$

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Originally posted by Archit3110 on 07 Dec 2019, 03:56.
Last edited by Archit3110 on 08 Dec 2019, 00:43, edited 2 times in total.
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Re: Distance between Smith's house and office is D km. On Monday, Smith tr  [#permalink]

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08 Dec 2019, 00:10
Distance between Smith's house and office is D km. On Monday, Smith traveled to his office at M km/hr for the first 20 km, and the rest at a speed of 1.25M km/hr. On, Tuesday, Smith traveled the same distance at a speed of M km/hr. what is ratio of time taken by Smith to travel from his house to office on Monday and Tuesday?
For Monday:
Time taken Tm = $$(\frac{20}{M} + \frac{D-20}{1.25M})$$ Hours
For Tuesday Tt = $$\frac{D}{M}$$
Now,
$$\frac{Tm}{Tt} = (\frac{20}{M} +\frac{D-20}{1.25M})/{\frac{D}{M}}$$ = ?
$$\frac{Tm}{Tt} = \frac{20}{D} +(\frac{D-20}{1.25})*\frac{1}{D}$$ = ?

Hence D =?

(1) $$M = 48$$
Clearly, INSUFFICIENT.

(2) $$D = 40$$

SUFFICIENT.

Answer B.
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Re: Distance between Smith's house and office is D km. On Monday, Smith tr   [#permalink] 08 Dec 2019, 00:10
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# Distance between Smith's house and office is D km. On Monday, Smith tr

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