Two buses with uniform speeds of 75 km/h and 60 km/h started from stand A at the same time towards s

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27 Apr 2022 Time Distance & Speed

Two buses with uniform speeds of 75 km/h and 60 km/h started from stand A at the same time towards stand B. The faster bus after returning from stand B meets slower bus at a distance which is 9 km from stand B. The distance between stand A and B (in km) is

OPtion

1) 72
2) 91
3) 60
4) 71
5) 90
6) 61
7) 80
8) 84
9) 70
10) None of these

Solution

Let the distance between stand A and B = x km
When faster bus with speed 75 km/h covers a distance of (x+9) km, in the same time slower bus with speed 60 km/h covers a distance of (x-9) km
⇒ (x+9)/75 = (x-9)/60
(x+9)/5 = (x-9)/4
4x+36 = 5x-45
x = 81
Correct option 10) None of these

Correct Option: 10 Best Solution (3)

G.S.Kantharao   2 years AGO

Let d be the distance from A to B
d+9/75=d-9/60
60d+540=75d-675
15d=1215=>d= 81
Distance between A to B =81
My option is 10👈

Like? Yes (4) | No   

Mayank Kandoi   2 years AGO

Distance between A and meeting point = x
Since time taken by both buses is same,
x/60 = (x+18)/75
75x = 60x + 1080
15x = 1080
x = 72
Distance between A and B = 72 + 9 = 81

Option 10

Like? Yes (2) | No   

A.P.Singh   2 years AGO

If distance is x, then
(x-9)/60= (x+9)/75
x=81 kms

Like? Yes (3) | No (1)