Tek has two routes that he normally takes when he drives to work.

Question

Tek has two routes that he normally takes when he drives to work. He always drives the same speed regardless of which route he takes. What is the difference in the distances to and from work between route 1 and route 2?

(1) It takes one hour for Tek to drive round-trip to and from work using route 1.
(2) It takes 40 minutes for Tek to drive round-trip to and from work using route 2.

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paragw · Answer

Since speed v is not given in both the statements, we cannot find a numerical difference, only the relationship between distance and speed
Hence, even with both statements together, we cannot find the exact difference in distances.
Answer: E

HRX273 · Answer

i think, here speed is constant so they asked too find us about speed of both and together we can get it...imo c... not sure....

aditya1818 · Answer

Let for Route 1: 
distance= D1
 time= T1

Let for Route 2: 
distance= D2
 time= T2

and since Speed is common, let it be S

Now as per question we have to find to and fro difference in distances ie 2D1 and 2D2 so question stem asks: 2|D1-D2|

Also D1=S* T1 and D2=S*T2
So, question can be re-arranged as 2S|T1-T2|

Now coming to the options:
Statement 1: T1= 1/2
So only T1 is known, Insufficient

Statement 2: T2= (2/3)/2
So only T2 is known, Insufficient

Combining statements 1 and 2: T1 and T2 are known but still S is unknown, so still insufficient

IMO: Option (E)

Reon · Answer

Let, speed= v

(1) For route 1, round trip takes 1 hour. So, total distance= 1v 
Insufficient

(2) For route 2, it takes 40 minutes. So, total distance= 2v/3 
Insufficient

(1)&(2) 
Difference= 1v-(2v/3) = v/3. 
We don't know the exact value of v. 
Insufficient

E

Souradeep17 · Answer

We need to find the difference in distance to and from work between route 1 and route 2

Option 1:
It takes 1 hour for route 1 round journey. Clearly not sufficient

Option 2:
It takes 40min for round trip using route 2. Alone not sufficient

Option 1+2
now if we consider the speed to be constant V then for route 1 the distance is 1*v
for route 2 it is 2/3*v ,
the difference between them will be 1/3v
but we know nothing about V so we can't find the numerical distance. So it should be option E

DropletMaverick · Answer

The formula is DST triangle is used but as the speed is constant we canget up to d/T but d is unkown and just by time we cant get anything about D as there are two missing value in the formulas the missing distance and missing speed so answer should be  E

iamjatinagrawal · Answer

Speed is same but with (D1/T1) = (D2/T2), we can substitute the values of T1,T2 but still we don't know D1 and D2, because of which we will not get the absolute difference between the two.

Tek has two routes that he normally takes when he drives to work.

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GMAT Data Sufficiency (DS) Questions

Tek has two routes that he normally takes when he drives to work.

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

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Perfect 805 Score Debrief by Julia

My Rewards