Latest Elitmus Aptitude Question SOLUTION: There are 2 men A and B both started running in a circular park but a in clockwise and b in anti clockwise direction a completes a circle of 1 km in 4 min they both run for 45 m

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(#M40038367) ELITMUS Numerical Ability question time and speed Keep an EYE

There are 2 men A and B both started running in a circular park but a in clockwise and b in anti clockwise direction a completes a circle of 1 km in 4 min they both run for 45 min find how much faster should b run so that they meet 24 times on their way

Asked In Elitmus aquib aslam (9 years ago)

Unsolved Read Solution (9)

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Mangesh Chauhan  (9 years ago)

a's spped- 250meter/min
net speed=250+b(b's speed, both moving in opp direction)
total dist covered in 45 min by them= (250+b)*45
as they meet 24 times thus dist covered by them= 24*1000(length of circular park)
equate both (250+b)*45=24000
b=(850/3) meter/min convert it to km/hr
ans is 17

Is this solution Helpfull? Yes (27) | No (1)  

suraj Khanduri  (9 years ago)

to meet 24 time they must cover distance of 24km i.e. distance covered by A + distance covered by B =24 km.
A completes 1km in 4 min, speed of A = 15kmph.
in 45 min A runs 11.25km.
B have to run 24-11.25= 12.75km.
we know B runs for 45 min.
so speed of B is 17kmph.

Is this solution Helpfull? Yes (15) | No (1)  

Abhishek Verma  (9 years ago)

Answer is 17

Is this solution Helpfull? Yes (3) | No (2)  

Pratik Mishra  (9 years ago)

speed of A: 1/(4/60)= 15 km/h
distance covered by A in 45 min=11.25 km
means that A covers 11 round and 0.25 km from starting in clockwise direction
So, at the 24th meet B needs to cover 0.75 km in anticlockwise direction from starting point.
Using options

A/c Option A speed of B is 225 km/hr.
A/c Option B speed of B is 180 km/hr
A/c Option C speed of B is 255 km/hr
A/c Option D speed of B is 270 km/hr

If we will use option A, distance covered by B = 255*45/60 = 168.75
means that B covers 168 rounds and 0.75 km from starting point anticlockwise direction
So, option A is correct = 15.

Is this solution Helpfull? Yes (3) | No (7)  

Pankaj Kumar  (9 years ago)

Given here parameter of circle = 1 km && They meet 24 times so conclusion of this -->they r running the circle 24 times ... Suppose B take x min to round the 24 times so Equation of this is 45/x = 24 so got x=1.875 min so Speed of B is 1km/1.875min --> 1*60/1.875(change min to hr.)--> B's speed 32kmph.
A's speed = 1*60/4--> 15kmph.
how much faster should B run = 32-15 = 17kmph faster

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Diya  (9 years ago)

did you attended the question 1

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aquib aslam  (9 years ago)

yes i attendented it by putting the value frm the ans the options were a
a 15
b 12
c 17
d 18

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nidhi gupta  (9 years ago)

17 what? is it the speed or it is 17 times faster? plz explain.

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shabana ismail  (9 years ago)

friends, i want to crack the elitmus, may i know which book you all are referring for solving this??????

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