Q:3 Rajeev and Reema started walking to the West and the North respectively, from the same point and
at the same speed. After 3 hours distance between them was 27√2 km. Find their speed per hour.
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Answers
Given : Rajeev and Reema started walking to the West and the North respectively, from the same point and at the same speed.
After 3 hours distance between them was 27√2 km.
To Find : their speed per hour.
Solution:
Let say speed per hour = s km/hr
Distance = Speed * time
Distance covered in 3 hrs = 3s km
Rajeev went to west hence 3s km West
Reema went to North Hence 3s km North
NORTH
WEST EAST
SOUTH
North and West are perpendicular to each other
Hence Distance between them = √(3s)² + (3s)²
= 3s√2 km
distance between them was 27√2 km.
Equating both
=> 3s√2 = 27√2
=> s = 9
their speed per hour. = 9 km/hr
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