Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

A car overtakes a goods train, which is 400 m long and runni

Expert replies
by BTGmoderatorDC » Mon Sep 09, 2019 4:12 pm
Timer
00:00
Your answer
Difficulty–

right wrong

Pick an answer to see how members did

A car overtakes a goods train, which is 400 m long and running at 36 kph, in 8 secs. The same car crosses another goods train, which is running from opposite direction at 54 kph, in 4 secs. How long the faster train will take to cross the slower train?

A. 28 seconds
B. 2 minutes
C. 2 minutes 20 seconds
D. 3 minutes 20 seconds
E. 3 minutes 40 seconds


OA A

Source: e-GMAT
Join the discussion
Source: — Problem Solving |

by deloitte247 » Thu Sep 19, 2019 7:36 am
Length of the train = 400 m
Car overtakes train in 8 secs

Relative speed = $$\frac{400}{8}=50ms^{-1}$$
speed of train = 36kmph converting it to m/s
$$\frac{\left(36\cdot1000\right)}{60\cdot60}=\ 10ms^{-1}$$
$$Speed\ of\ car\ =\ Relative\ speed\ +speed\ of\ train\ =50+10=60\ \frac{m}{s}$$
The car crosses another goods train B travelling in opposite directions this time around.
Speed of time B = 54km/hr
converting it to m/s
$$\frac{\left(54\cdot1000\right)}{60\cdot60}=15ms^{-1}$$
Relative speed= Speed of car +speed of train B
= 60+15 = 75m/s
Length of train B = Relative speed * time taken = 75 *4 =300m
For the two trains given that they are travelling in opposite directions, their relative speed will be
Speed of train A + speed of train B 10 + 15 = 25 m/s
Distance = Length of the two trains = 400+300 = 700m
Time taken to cross the slower train = Distance / Relative speed
$$\frac{700}{25ms^{-1}}$$
$$=28\sec$$

$$Ans\ is\ Option\ A$$
Join the discussion

by Scott@TargetTestPrep » Tue Sep 24, 2019 10:21 am
BTGmoderatorDC wrote:A car overtakes a goods train, which is 400 m long and running at 36 kph, in 8 secs. The same car crosses another goods train, which is running from opposite direction at 54 kph, in 4 secs. How long the faster train will take to cross the slower train?

A. 28 seconds
B. 2 minutes
C. 2 minutes 20 seconds
D. 3 minutes 20 seconds
E. 3 minutes 40 seconds


OA A

Source: e-GMAT
First, we can let r = the speed of the car (in kph) and create the equation:

8/3600 x r = 8/3600 x 36 + 400/1000

r/450 = 2/25 + 2/5

Multiplying the equation by 450, we have:

r = 36 + 180

r = 216

Next, we can let n = the length of the faster train (in meters) and create the equation:

4/3600 x 216 + 4/3600 x 54 = n/1000

6/25 + 3/50 = n/1000

Multiplying the equation by 1000, we have:

240 + 60 = n

n = 300

Finally, we can let t = the number of hours it takes the faster train to cross the slower train, and we can create the equation:

36t + 54t = 400/1000 + 300/1000

90t = 7/10

t = 7/900 hr = 28 seconds

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Join the discussion