A motorcyclist travelling at a constant speed of x miles per hour cove

Question

A motorcyclist travelling at a constant speed of x miles per hour covers a total distance of 150 miles. What is the value of x?

(1) It takes the motorcyclist 400 minutes to cover the total distance of 150 miles.

(2) The motorcyclist covers (x+45) miles in 3 hours

Kritisood · Answer

Bunuel  could you check the OA? egmat says its D

Bunuel · Answer

Edited the OA.

(1) says x = (speed) = (distance)/(time) = 150/(400/60) = 45/2

(2) says x = (speed) = (distance)/(time) = (x+45)/3. (x+45)/3=x gives x = 45/2.

Answer: D.

SaquibHGMATWhiz · Answer

Solution:      
  Pre Analysis:  
   Speed = x  miles per hour 
  Distance = 150  miles 
 Therefore,  Time = \frac{Distance}{Speed}=\frac{150}{x}  hours 
  We are asked the value of x i.e., speed

Statement 1:   It takes the motorcyclist 400 minutes to cover the total distance of 150 miles
  According to this statement, time to cover 150 miles = 400 mins = 400/60 hours 
 So, we can write  \frac{150}{x}=\frac{400}{60}  
 From which we can get the value of x easily 
 Thus,  statement 1 alone is sufficient and we can eliminate options B, C and E

Statement 2:   The motorcyclist covers (x+45) miles in 3 hours
  According to this statement, speed of motorcycle  =\frac{x+45}{3}  
 We can equate this to  \frac{x+45}{3}=x  and get the value of  x  easily

Hence the right answer is    Option D

A motorcyclist travelling at a constant speed of x miles per hour cove

Prep Toolkit

Top 5 GMAT Debrief Videos

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

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

A motorcyclist travelling at a constant speed of x miles per hour cove

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

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards