Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 22 Jul 2019, 15:44

### 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

# Clarissa spent all day on a sightseeing trip in Britain

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 02 Jan 2017
Posts: 293
Clarissa spent all day on a sightseeing trip in Britain  [#permalink]

### Show Tags

28 Feb 2017, 03:57
3
00:00

Difficulty:

5% (low)

Question Stats:

89% (02:50) correct 11% (02:59) wrong based on 83 sessions

### HideShow timer Statistics

Clarissa spent all day on a sightseeing trip in Britain. Starting from her hotel, Clarissa boarded a bus, which traveled at an average speed of 15 miles per hour through a 30 mile section of the countryside. The bus then stopped for lunch in London before continuing on a 3 hour tour of the city's sights at a speed of 10mph. Finally, the bus left the city and drove 40 miles straight back to the hotel. Clarissa arrived at her hotel exactly 2 hours after leaving London. What was the bus's average rate, approximately, for the entire journey?

A. 8
B. 14
C. 21
D. 25
E. 30
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4487
Re: Clarissa spent all day on a sightseeing trip in Britain  [#permalink]

### Show Tags

01 Mar 2017, 17:38
1
vikasp99 wrote:
Clarissa spent all day on a sightseeing trip in Britain. Starting from her hotel, Clarissa boarded a bus, which traveled at an average speed of 15 miles per hour through a 30 mile section of the countryside. The bus then stopped for lunch in London before continuing on a 3 hour tour of the city's sights at a speed of 10mph. Finally, the bus left the city and drove 40 miles straight back to the hotel. Clarissa arrived at her hotel exactly 2 hours after leaving London. What was the bus's average rate, approximately, for the entire journey?

A. 8
B. 14
C. 21
D. 25
E. 30

Dear vikasp99,

I'm happy to respond.

I like the fact that the woman in the problem has such an archetypally British name.

Because we are asking for the average speed of the bus, we don't count the lunch break of unspecified time because presumably Clarissa wasn't on the bus for that.

For multiple legs of a trip, we have to figure out distance and time for each one.
1) Leg #1 (the countryside)
R = 15 mph, D = 30 mi, so T = 2 hr
2) Leg #2 within London
T = 3 hr, R = 10 mph, so D = 30 mi
3) Leg #3 return from London
D = 40 mi, T = 2 hr

Now that we have the distance and time for each leg, we add to find the total distance and the total time.

total distance = 30 + 30 + 40 = 100 mi
total time = 2 + 3 + 2 = 7 hr

average velocity = (total distance)/(total time)

average velocity = $$\frac{(100 mi)}{(7 hr)} \approx 14 mph$$

OA = (B)

Does all this make sense?
Mike
_________________
Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: Clarissa spent all day on a sightseeing trip in Britain  [#permalink]

### Show Tags

02 Mar 2017, 17:58
vikasp99 wrote:
Clarissa spent all day on a sightseeing trip in Britain. Starting from her hotel, Clarissa boarded a bus, which traveled at an average speed of 15 miles per hour through a 30 mile section of the countryside. The bus then stopped for lunch in London before continuing on a 3 hour tour of the city's sights at a speed of 10mph. Finally, the bus left the city and drove 40 miles straight back to the hotel. Clarissa arrived at her hotel exactly 2 hours after leaving London. What was the bus's average rate, approximately, for the entire journey?

A. 8
B. 14
C. 21
D. 25
E. 30

We can use the following formula:

average rate = total distance/total time

We need to find the distance for each leg of the trip and the time for each leg of the trip.

First leg (countryside): Since the bus traveled 15 mph for 30 miles, the time for that stretch was 30/15 = 2 hours.

Second leg (London tour): Since the bus traveled for 3 hours at a rate of 10 mph, the distance traveled for that stretch was 3 x 10 = 30 miles.

Third leg (return to hotel): Finally, the bus took 2 hours and drove for 40 miles to get back to the hotel. Thus:

average rate = (30 + 30 + 40)/(2 + 3 + 2)

average rate = 100/7, which is closest to 14.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 11740
Re: Clarissa spent all day on a sightseeing trip in Britain  [#permalink]

### Show Tags

14 Aug 2018, 10:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Clarissa spent all day on a sightseeing trip in Britain   [#permalink] 14 Aug 2018, 10:31
Display posts from previous: Sort by