RRB Assistant Loco Pilot and Technician Model Paper 9 with solutions

Question : 7 of 100

Marks: +1, -0

A man walks half of the journey at 4 km/h by cycle does one third of journey at 12 km/h and rides the remainder journey in a horse cart at 9 km/h, thus completing the whole journey in 6 hours and 12 minutes. The length of the journey is 9 Time: 90 minutes

36 km
39 km
40 km
28 km

Validate

Solution:

(a) Let the length of the journey = x km.
∴ Journey rides by horse cart
= x

( 1 - { 1 } /{ 2 } - { 1 } /{ 3 } ) = { 1 } /{ 6 }x

km
Then, total time taken to complete journey =

31/5

hr
⇒

{ t } _ { 1 }

{ t } _ { 2 }

{ t } _ { 3 } = { 31 }/ { 5 }

⇒

{ { x } }/ { 2 } × { 1 }/ { 4 }

{ { x } } /{ 3 } × { 1 } /{ 12 }

{ { x } }/ { 6× 9 } = { 31 } /{ 5 }

⇒

{ x } = { 31 }/ { 5 } × { 216 }/ { 37 }

= 36.2 km ≈ 36 km

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