Latest Others Aptitude Question SOLUTION: An army 50 miles long marches at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear

• Placement Papers
• /
• Others

Others Question Papers:

(#M40007744) OTHERS question Keep an EYE

An army 50 miles long marches at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear of the army as the army completes 50 miles. Find the distance travelled by the courier.

Asked In Others ravi (12 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (3)   (1) Submit Your Solution

Read Solution (1) :

Pargat Pal Singh  (12 years ago)

Let the speed of the army be x and speed of the courier be y. The time taken by the courier to reach the first person be t1 and to return be t2.

(y-x)t1 = 50--------(i)
(y+x)t2 = 50---------(ii)
x(t1+t2) = 50---------(iii)

from (iii):t1+t2=50/x-------(iv)
from (ii):t2=50/y+x-------(v)
from (iii):t1=50/y-x-------(vi)

Putting (v) & (vi) in (iv):50/x=(50/y-x)+(50/y+x) ------> 1/x=(1/y+x)+(1/y-x)----->
Solving y=(1+2^.5)x=(1+1.414)x=2.414x

Now distance travelled by courier =(t1+t2)*y = (50/x) * 2.414x
= 50*2.414=120.7 mile


hence 120.7 mile

Is this solution Helpfull? Yes (2) | No   

Please Login to Read Solution.