Question

Two tractors, one moving towards north
and the other moving towards east, leave
the same place at the same time. The speed
of one of them is greater than that of the
other by 5 km per hour. At the end of two
hours, they are at a distance of 50 km from
each other. Find the speed of each tractor.​

Answer 1

Answer:

North and east are at 90 degree, equation becomes

(2x

2

)+[2(x+5)]

2

=50

2

on solving, we get

x=12.366km/h

Step-by-step explanation:

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Answer 2

Answer:

30 and 35km/hr

Step-by-step explanation:

let x km/hr be one of the tractor's speed then the other one is (x+5) km/hr.

And time taken by both the tractors is 2 hrs.

since they form a triangle and the hypotenuse being 50km.

By Pythagoras Theorem,

(2x)²+[2(x+5)]²=50²

4x²+4x²+40x+100=2500

8x²+40x-2400=0

2x²+10x-600=0

By solving the quadratic equation, we get x= -40 and x=30

Neglectng the negative term, we have the speeds 30 km/hr and 35 km/hr.