LIC AAO Model Paper 1

Question : 57 of 160

Marks: +1, -0

A bus started from bus stop P, developed engine trouble and reached bus stop Q, 40 minutes late. What is the distance between the bus stops P and 9?
I. The engine trouble developed after travelling 40 kms from bus stop P and the 1 speed reduced to 1/4 th of the original speed.
II. The engine trouble developed after travelling 40 kms from bus stop P in 2 hours and the speed reduced to 1/4 th of the original speed

Validate

Solution:

From statement I
The time taken to cover 40 km is not known.
From statement II
If PQ = xkm then the distance covered by the troubled engine
= (x- 40) km
Usual speed =

{40}/2

= 20 kmph
Usual time =

(x/{20})

hours
∴ 2 hours +

{x-40}/5 - x/{20}

{40}/{60}

2/3

⇒

x/{20}

{x-40}/5

= 2 -

2/3

⇒

{x-4x+160}/{20}

4/3

⇒ (-3x+ 160)3 = 80
⇒ 9x = 480 - 80 = 400
⇒ x =

{400}/9

= 44

1/9

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