Question

Answer this [ pair of linear equations in 2 variables ]

Answer 1

Let speed of Ajeet = P km/h
speed of Amit = Q km/h
A/C to question,
time taken by Ajeet = 2hour + time taken by Amit
30/P = 2 + 30/Q
30{ 1/P - 1/Q } = 2
1/P - 1/Q = 1/15 ______(1)
again,
30/2P = 30/Q - 1
30/Q - 30/2P = 1
30{ 1/Q - 1/2P } = 1
1/Q - 1/2P = 1/30 ________,(2)
solve eqns (1) and (2)
1/2P = 1/10
P = 5 km/h Q = 7.5 km/h