BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

motorist

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 489
Joined: Tue Jul 05, 2011 11:10 amFollowed by: 5 members
Thanked: 28 times
by gmatblood » Sat Oct 29, 2011 12:11 pm
If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. how many more miles would he have covered that he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

a) 100
b) 120
c) 140
d) 150
d) 160
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members
Location: New Delhi, India
Thanked: 130 times
GMAT Score:720

by rijul007 » Sat Oct 29, 2011 12:39 pm
Motorist drives 1 hr longer and 5mph faster

(x+5)(t+1) = xt+70
xt+x+5t+5 = xt+70
x+5t = 65------[1]


If he drives 2 hrs longer and 10 mph faster. lets say he drove m miles more

(x+10)(t+2) = xt + m
xt+2x+10t+20 = xt+m
2x+10t+20 = m
m = 2(x+5t)+20
m = 130+20 = 150

Option D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Thu Aug 25, 2011 6:43 am

by suyashgupta0562 » Sat Oct 29, 2011 1:29 pm
Option D - 150

We can directly deduce from the question that in one hour extra the motorist completes 70 miles extra.

Therefore, he must have completed 70 miles in one hour.

This makes his increased Speed = 70 miles/ hour

Original Speed = 70- 5 = 65 miles / hour

Now, if we increase the speed by 10 miles / hr

New Speed = 75 miles per/ hour
Time = 2 hrs

Hence, Distance = Speed x Time = 75 x 2 = 150 miles.

As the question ask for the additional distance he would have travelled the answer will be 150.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 416
Joined: Tue Aug 30, 2011 2:18 pmFollowed by: 9 members
Location: Delhi, India
Thanked: 13 times

by vaibhavgupta » Sat Oct 29, 2011 1:55 pm
gmatblood wrote:If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. how many more miles would he have covered that he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

a) 100
b) 120
c) 140
d) 150
d) 160
Not going into calculations.
had he gone 5 miles/hour faster for 2 hours he would have done 140 miles more right?
now for actually estimating the distance for 10 miles/hour faster for 2 hours, we just add the extra miles i.e (10-5) miles/ hour for 2 hours, which is 10 miles.

Adding them up =140+10=150 miles

IMO D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Community Manager
Posts: 1060
Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members
Location: Utrecht, The Netherlands
Thanked: 318 times

by neelgandham » Tue Nov 01, 2011 4:35 am
Let x be the # of hours he travels everyday then If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did

=> 5(x+1) =70 => x =13

if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

=> 10(x+2) = ? 10*15 =150 !
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1