A rational number is such that when you multiply it by5/2and add2/3 to the product you get -7/12 what is the number
Answers
Answer:
if rational number should be x,
given by the problem,
x*5/2+2/3=-7/12,
5x/2+2/3=-7/2,
denominators L.C.M=6
5x/2*6+2/3*6 total /6,
15x+4= -7/2,
30x+8=-7,
30x=-15,
x=-15/30,
x=-1/2.
hence the rational number should be =-1/2
Answer:
Step-by-step explanation:A Traveler starts from A towards B at 7:00 a.m. and another Traveler starts at the same time from B towards A
Let say Distance between A & B = D km
They meet at 9:00 a.m. at 36 kilometer from A
=> Distance Travelled by A = 36 km
& Distance Travelled by B = D - 36 km
Time taken = 2 hrs
Speed of A = 36/2 = 18 km/hr
Speed of B = (D-36)/2 km/Hr
further Time taken by B to reach A
= 36/ ((D-36)/2)
= 72/(D - 36) hr
Distance covered by A in this time
= 18 * 72/(D - 36)
18 * 72/(D - 36) = D - 36 - 36 ( 36 km Already covered & 36 km still to reach B)
=> 18*72 = (D-72)((D - 36)
=> D² -108D + 36*72 - 18*72 = 0
=> D² - 108D + 18*72 = 0
=> D = (108 ± √((108)² - 4*18*72))/2
=> D = 94.25 km ignoring value < 36 km
Distance between A & B = 94.25 km