Latest L&T Aptitude Question SOLUTION: A & B are two places. C & D start walking from A and B respectively. Before meeting D, C travel 18m more than D. then C takes 13 and half minute and D take 24 minute to reach the

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A & B are two places. C & D start walking from A and B respectively. Before meeting D, C travel 18m more than D. then C takes 13 and half minute and D take 24 minute to reach their destination.
124
126
127
128

Asked In L&T apeksha (8 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (6)   (15) Submit Your Solution Time Distance and Speed

Read Solution (5) :

Roger Anton  (7 years ago)

QUESTION INCOMPLETE

A & B two places. C & D are two people. C started from A and D started from B. When they meet each other in the way C traveled 18 m more than D. Then C takes 13 and half a minute and D takes 24 minutes to reach the other end. What was the distance between A & B in meters.
124
126
127
128

Ans: 126

Is this solution Helpfull? Yes (5) | No (2)  

abhishek  (7 years ago)

after meeting, ratio of there speed is c/d=root(24/(27/2))
c/d=4/3
after meeting c covers x meter in 27/2 sec at speed of 4
so, x=4*(27/2)
x=54
total distance is x+(x+18)
so, 54+54+18=126

Is this solution Helpfull? Yes (2) | No (1)  

Brajeshrai  (8 years ago)

answer is 126
their speed in ratio 4:3
7*18=126

Is this solution Helpfull? Yes | No (7)  

Roger Anton  (7 years ago)

Let C travels (z+18) km D travels z km

Since both of them have taken same time for this,

(
z
+
18
)
Speed of C
=
z
Speed of D
(z+18)Speed of C=zSpeed of D

or
Speed of C
Speed of D
=
z
+
18
z
Speed of CSpeed of D=z+18z ---(A)

Time taken by C to travel z distance = 13.5 minutes

=> Speed of C =
z
13.5
z13.5 ---(1)

Time taken by D to travel (z+18) distance = 24 minutes

=> Speed of D =
z
+
18
24
z+1824 ---(2)

From (1) and (2),

Speed of C
Speed of D
=
z
13.5
z
+
18
24
=
24
z
13.5
(
z
+
18
)
Speed of CSpeed of D=z13.5z+1824=24z13.5(z+18) --(B)

From (A) and (B),

z
+
18
z
=
24
z
13.5
(
z
+
18
)
z+18z=24z13.5(z+18)

13.5
(
z
+
18
)
2
=
24
z
2
13.5(z+18)2=24z2

(
z
+
18
)
2
=
8
z
2
(z+18)2=8z2

(
z
2
+
36
z
+
324
)
=
1.78
z
2
(z2+36z+324)=1.78z2

.78
z
2
−
36
z
−
324
=
0
.78z2−36z−324=0

x
≈
54
x≈54

Distance between A & B = z + z + 18 = 54 + 54 + 18 = 126 meter

Is this solution Helpfull? Yes | No (14)  

SAYANDIP SAR  (2 years ago)

after meeting, ratio of there speed is c/d=root(24/(27/2))
c/d=4/3
after meeting c covers x meter in 27/2 sec at speed of 4
so, x=4*(27/2)
x=54
total distance is x+(x+18)
so, 54+54+18=126

Is this solution Helpfull? Yes | No   

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