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Hey pal...
The ans:
let, speed of hamid's bike be x km/hrs
and speed of joseph's bike be y km/hrs
If they travel in opposite direction, their combined speed is (x+y) km/hrs.
and
If they travel in same direction their combined speed is (x-y) km/hrs.
therefore,
we have
30/x+y =20/60
30/x+y =1/3
x+y =90...... 1)
now,
30/x-y = 3/1
cross multiply them
3x-3y = 30
now, divide by 3
therefore,
x-y=10....... 2)
now, adding 1) and 2)
(image above)
x=50
put this value in 1)
therefore,
y=40
thus,
the speed of hamid's bike is 50 km/hrs.
and
the speed of joseph's bike is 40 km/hrs.
Hope it helps you,
All the best for tomorrow's exam,
By the way, I'm also in 10th mh state board.
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