Latest Bank Exam Aptitude Question SOLUTION: Two people enter a race in whick you run to a point and back. Person A runs 20 mph to and from the point. Person B runs to the point going 10 mph and 30 mph going back. Who came i

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(#M40010290) BANK EXAM question Keep an EYE

Two people enter a race in whick you run to a point and back. Person A runs 20 mph to and from the point. Person B runs to the point going 10 mph and 30 mph going back. Who came in first?

Asked In Bank Exam prashanthi (11 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Vignesh  (11 years ago)

Person A will reach first.

Let the distance be x
Person A :
Total time = x/20 + x/20
= x/10
= .1x
Person B :
Total time = x/10 + x/30
= x/30
= .133x

Since Time taken by person B is more than person A
So Person A will reach earlier.

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Aman  (11 years ago)

Obviously, First person will come first.
By the time, second person covered one way distance , First person has reached back to starting point as speed of First person is exactly double as compared to second person.
No need to calculate any time.

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Garima  (11 years ago)

First person will come first.

If one side distance is 60 miles,

time taken by first person = 2*60/20 = 6 hrs
time taken by second person = 60/10 + 60/30 = 8 hrs

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arpit bansal  (11 years ago)

first person average speed = 20 mph
n second person average speed= 2*10*30/(10+30)==>600/40=15
so first person comes first.

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sravanthi miryala  (11 years ago)

ans : A
avg speed s = 2*20*20/(20+20) = 20 m /hr
b = 2*10*30/(10+30) = 15 m /hr
so A comes first

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Swaraj Behera  (11 years ago)

Let's assume that the distance between start and the point
is D miles.

Total time taken by Person A to finish

= (D/20) + (D/20)

= D/10

= 0.1D

Total time taken by Person B to finish

= (D/10) + (D/30)

= 2D/15

= 0.1333D

Thus, Person A is the Winner.

Alternatively (if you don't like mathematics ;)), analyse
the situation as follow:

Note that initially speed of Person A (20 mph) was twice the
speed of Person B (10 mph). Hence, when Person A (20 mph
forward) reached the point, Person B (10 mph forward) was
halfway. When Person A (20 mph back) finished, Person B
(still 10 mph forward) reached the point.

Thus, Person A wins the race and by that time Person B
covers only half the distance, no matter how far the point is!!!

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