RRB NTPC Mains or Stage 2 Model Paper 2 with solutions

Question : 90 of 120

Marks: +1, -0

Two buses start from a house at an interval of 5 minutes and move with a speed of 10 km/hr in the same direction.With how much speed (km/hr) should a woman coming from the opposite direction towards the house travel, to meet the buses at an interval of 3 minutes?

$6 1 /3$
6.5
6
$6 2/3$

Validate

Solution:

(d) Distance between the buses=

10 ×5 /60=5/6

Km
Let the speed of the woman be x Kmph.
For the woman,

5/6

Km is covered in 3 minutes with a relative speed of (10 + x) Km/hr.

5/6 (10 +x) 3/ 60

30 + 3x = 50
3x = 20
∴x =

20/3=6 2/3

∴Speed of woman

6 2/3

= Kmph.

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