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17 Apr 2017, 01:05
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Jamal can drive from his home to his mother's house by one of two possible routes. If he must also return by one of these routes, what is the distance of the shorter route?
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
17 Apr 2017, 09:07
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Jamal can drive from his home to his mother's house by one of two possible routes. If he must also return by one of these routes, what is the distance of the shorter route?
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
S1.
Clear insufficient!
S2.
No mention of shorter route. Insufficient!
Combining 1 & 2:
Let time taken by Jamal to cover 60kms is x, then time taken by Jamal to cover shorted distance is 2x/3.
Which means, the shorter route would be 2/3 of 60kms, i.e. 40kms.
Sufficient!
Hence, answer will be C.
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
S1.
Clear insufficient!
S2.
No mention of shorter route. Insufficient!
Combining 1 & 2:
Let time taken by Jamal to cover 60kms is x, then time taken by Jamal to cover shorted distance is 2x/3.
Which means, the shorter route would be 2/3 of 60kms, i.e. 40kms.
Sufficient!
Hence, answer will be C.
18 Apr 2017, 00:59
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14101992
Jamal can drive from his home to his mother's house by one of two possible routes. If he must also return by one of these routes, what is the distance of the shorter route?
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
S1.
Clear insufficient!
S2.
No mention of shorter route. Insufficient!
Combining 1 & 2:
Let time taken by Jamal to cover 60kms is x, then time taken by Jamal to cover shorted distance is 2x/3.
Which means, the shorter route would be 2/3 of 60kms, i.e. 40kms.
Sufficient!
Hence, answer will be C.
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
S1.
Clear insufficient!
S2.
No mention of shorter route. Insufficient!
Combining 1 & 2:
Let time taken by Jamal to cover 60kms is x, then time taken by Jamal to cover shorted distance is 2x/3.
Which means, the shorter route would be 2/3 of 60kms, i.e. 40kms.
Sufficient!
Hence, answer will be C.
Answer is C,but the equation you have given should be different.
60km is two way distance using longer,so one way should be 30km.
Also, the first statement says "it takes 2/3 longer to take the longer route than the shorter route",so that means if "x" is time for shorter distance,for longer distance its gonna be x(1+2/3)==5x/3.
now since speed for the time they have given is same,and considering shortest distance as "d",the equation will be
\(30/\frac{5x}{3} = \frac{d}{x}\) ==>d=18
