Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time they will meet again at the starting point.


Chapter/Topic: Ratio and proportions


see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

26 minutes and 18 seconds

b

42 minutes and 36 seconds

c

45 minutes

d

46 minutes and 12 seconds 

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

A completes his round in 252 secs.
B completes his round in 308 secs.
C completes his round in 198 secs.
They will again starting together after,
LCM(252,308,198)
252=2×2×3×3×7
308=2×2×7×11
198=2×3×3×11
Required LCM = 2×2×3×3×7×11= 2772 secs
60 secs = 1 min
2772 secs = 277260 ​= 46 mins 12 secs.
Hence, Option (4) is the correct answer.
 
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring