Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is
A) 27/40
B) 3/4
C) 7/8
D) 11/12
E) 6/5
Answer: B
Source: GMAT Prep Now
Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles
This topic has expert replies
-
- Legendary Member
- Posts: 1223
- Joined: Sat Feb 15, 2020 2:23 pm
- Followed by:1 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
-
- Junior | Next Rank: 30 Posts
- Posts: 17
- Joined: Sat Nov 30, 2019 10:06 pm
Let distance be x then
2.25/60+x/30 = x/12
solving for X,
x=3/4 km
Ans B
2.25/60+x/30 = x/12
solving for X,
x=3/4 km
Ans B
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
When Rhonda bicycles to work, her travel time is 2.25 minutes less than when she runs to workBTGModeratorVI wrote: ↑Fri Jul 03, 2020 6:55 amRhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is
A) 27/40
B) 3/4
C) 7/8
D) 11/12
E) 6/5
Answer: B
Source: GMAT Prep Now
It might be useful to start with a "Word Equation"
(Rhonda's running time in hours) = (Rhonda's cycling time in hours) + 2.25/60
Aside: 2.25 minutes = 2.25/60 hours
travel time = distance/speed
We know the running and cycling speeds, but we don't know the distance.
So, let d = distance to work
So, we get: d/12 = d/30 + 2.25/60
To eliminate the fractions, multiply both sides by 60 (the LCM of 12, 30 and 60)
We get: 5d = 2d + 2.25
Subtract 2d from both sides: 3d = 2.25
Solve: d = 2.25/3
Check answer choices . . . not there.
Looks like we need to rewrite 2.25/3 as an equivalent fraction.
If we take 2.25/3, and multiply top and bottom by 4 we get: 9/12, which is the same as 3/4
Answer: B