Question

The distance between two stations is 300km. Two motor cyclists start simultaneously from these stations and move towards each other. The speed of one of the them is 7 km/hr faster than that of the other. If the distance between them after 2 hours of their start is 34km, find the speed of each motor cyclist.

Answer 1

Answer:

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Answer 2

Answer:

QUESTION:

The distance between two stations is 300km. Two motor cyclists start simultaneously from these stations and move towards each other. The speed of one of the them is 7 km/hr faster than that of the other. If the distance between them after 2 hours of their start is 34km, find the speed of each motor cyclist.

Given:

The distance between two stations is 300km.

Two motor cyclists are moving towards each other.

The speed of one of the them is 7 km/hr faster than that of the other.

The distance between them after 2 hours of their start is 34km.

R.T.F:

The speed of each motor cyclist.

Let's assume:

The first motor cyclist as 'A'

The second motor cyclist as 'B'

SOLUTION:

Let speed A = x

time travelled = 2 hours

distance = speed × time

d1 = x×2 = 2x

If speed of A is x , speed of B = x+7

time = 2 hours

distance = speed×time

d2= 2(2x+7)

Total distance by A and B = d1+d2

= 2x + 14 + 2x

= 4x + 14

$(4x + 14) + 34 = 300$

$4x + 500 = 300$

$4x = 300 - 48$

$4x = 252$

$x = \frac{252}{4}$

$x = 63$

$x = \frac{ 252}{4}$

$\therefore \: x = 63km \\ x + 7 = 63 + 7 = 70$

Speed of A is 63 km/hr and speed of B is 70 km /hr.

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