GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Oct 2019, 23:57

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# At some point while traveling to a city Mr. Hock increased his speed b

Author Message
TAGS:

### Hide Tags

Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
At some point while traveling to a city Mr. Hock increased his speed b  [#permalink]

### Show Tags

09 Feb 2019, 10:22
2
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:54) correct 24% (02:51) wrong based on 83 sessions

### HideShow timer Statistics

At some point while traveling to a city Mr. Hock increased his speed by 20%. After traveling for some distance at that speed, he reduced his speed by 15%. After this deduction Mr. Hock's speed was 51 km/hour. What was Mr. Hock's original speed?

A. 42 km/hour
B. 47 km/hour
C. 49 km/hour
D. 50 km/hour
E. 52 km/hour
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: At some point while traveling to a city Mr. Hock increased his speed b  [#permalink]

### Show Tags

09 Feb 2019, 10:36
akurathi12 wrote:
At some point while traveling to a city Mr. Hock increased his speed by 20%. After traveling for some distance at that speed, he reduced his speed by 15%. After this deduction Mr. Hock's speed was 51 km/hour. What was Mr. Hock's original speed?

A. 42 km/hour
B. 47 km/hour
C. 49 km/hour
D. 50 km/hour
E. 52 km/hour

Successive % change = 20 - 15 -300/100 = 2%

Now original speed = 51 - 2% 51 = 51-1

D
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Joined: 09 Feb 2017
Posts: 1
Re: At some point while traveling to a city Mr. Hock increased his speed b  [#permalink]

### Show Tags

11 Feb 2019, 17:42
Increase 20% = 1+.2 =1.2
Decrease 15% = 1-.15= .85

Multiply (1.2)*(.85)= (12)*(80+5)= 960+60=1020 move the decimal =1.020% increase
If the final speed was 51 its original speed must be around 50 km/hr

C
SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1684
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
At some point while traveling to a city Mr. Hock increased his speed b  [#permalink]

### Show Tags

27 Feb 2019, 23:28
[align=][align=][/align][/align]
akurathi12 wrote:
At some point while traveling to a city Mr. Hock increased his speed by 20%. After traveling for some distance at that speed, he reduced his speed by 15%. After this deduction Mr. Hock's speed was 51 km/hour. What was Mr. Hock's original speed?

A. 42 km/hour
B. 47 km/hour
C. 49 km/hour
D. 50 km/hour
E. 52 km/hour

Let the original speed = X km/hr

Speed increased by 20% = X + 0.20X = 1.2X

Now the speed is decreased by 15% = 1.2X - 1.2 * 0.15 = 1.02X

Now as per question we know,

1.02X = 51

X = 51 * 100 / (102)

X = 50 km/hr (D)

_________________
"Do not watch clock; Do what it does. KEEP GOING."
At some point while traveling to a city Mr. Hock increased his speed b   [#permalink] 27 Feb 2019, 23:28
Display posts from previous: Sort by