SSC CGL 3 Sep 2016 Paper

Question : 57 of 100

Marks: +1, -0

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hour and partly on bicycle at a speed of 9 km/hour. The distance travelled on foot is :

14 km.
16 km.
20 km.
18 km.

Validate

Solution:

Length of journey on foot = x km. (let).
∴ Length of journey on cycle = (61 – x) km.
According to the question,
Time =

{\Distance}/{\Speed}

∴

x/4 + {61-x}/9

= 9
⇒

{9x+244-4x}/{36}

= 9
⇒ 5x + 244 = 36 × 9 = 324
⇒ 5x = 324 - 244 = 80
⇒ x =

{80}/5

= 16 km

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