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Allen travelled in a car and David travelled in a train. If

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Intern
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Allen travelled in a car and David travelled in a train. If [#permalink] New post 22 Jul 2006, 14:58
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Allen travelled in a car and David travelled in a train. If Allen and David travelled the same length of time and Allen travelled 108 miles, how many miles did David travel?

i) Allen's average speed was 3/5 of David's average speed.
ii) Allen and David each travelled 3 hours.
Director
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 [#permalink] New post 22 Jul 2006, 15:03
A?

#1. Since we know the time travelled is the same and ratios of average speed, we know distance travelled by David.

#2. Not sufficient.
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 [#permalink] New post 23 Jul 2006, 00:42
Straight A

108/A = x/D
St1: A = 3D/5
108/(3D/5) = x/D
x = 180
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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 [#permalink] New post 26 Jul 2006, 02:37
A

1) Let time be t. Distance travelled by David be x

Hence
108/t = 3/5 * x/t
X = 108*5/3

Suff

2) we know the time David travelled. No idea about speed. Hence Not suff
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 [#permalink] New post 26 Jul 2006, 07:49
A aswell.

from stmt 1) we know the ratio of the avg speed, and since the time is the same we can solve.
from stmt2) we are given the time, but we still don't know the avg speed for david.
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 [#permalink] New post 26 Jul 2006, 08:22
Let
Ta = Allen's travel time
Td = David's travel time
Sa = Allen's average speed
Sd = David's average speed
Da = Allen's distance
Dd = David's distance


Given Ta = Td, Da= 108

Dist = speed x time
Dd = Sd x Td = Sd x Ta = Sdx 108/Sa

Dd = 108 x (Sd/Sa)

S1: Given Sa/Sd = 3/5
Sufficient to compute Dd.

S2: Ta = Td = 3 hrs.

Not sufficient.

Answer: A
  [#permalink] 26 Jul 2006, 08:22
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Allen travelled in a car and David travelled in a train. If

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